Finding the Fourth Proportional to 10,400,807,438,707, 14,353,147,803,922 and 5,776,299,588,924

Step by Step Solution

1. Step 1: Write the proportion equation
   10,400,807,438,707 : 14,353,147,803,922 = 5,776,299,588,924 : x
2. Step 2: Convert to fraction form
   10,400,807,438,707/14,353,147,803,922 = 5,776,299,588,924/x
3. Step 3: Cross multiply
   10,400,807,438,707x = 14,353,147,803,922 × 5,776,299,588,924
4. Step 4: Simplify right side
   10,400,807,438,707x = 82,908,081,759,560,056,476,532,736
5. Step 5: Solve for x
   x = 82,908,081,759,560,056,476,532,736/10,400,807,438,707
6. Step 6: Final answer
   x = 7,971,312,059,005.58