Finding the Fourth Proportional to 10,493.75, 14,481.32 and 5,778

Step by Step Solution

1. Step 1: Write the proportion equation
   10,493.75 : 14,481.32 = 5,778 : x
2. Step 2: Convert to fraction form
   10,493.75/14,481.32 = 5,778/x
3. Step 3: Cross multiply
   10,493.75x = 14,481.32 × 5,778
4. Step 4: Simplify right side
   10,493.75x = 83,673,038.07
5. Step 5: Solve for x
   x = 83,673,038.07/10,493.75
6. Step 6: Final answer
   x = 7,973.61