Finding the Fourth Proportional to 10,495.81, 14,484.32 and 5,780.13

Step by Step Solution

1. Step 1: Write the proportion equation
   10,495.81 : 14,484.32 = 5,780.13 : x
2. Step 2: Convert to fraction form
   10,495.81/14,484.32 = 5,780.13/x
3. Step 3: Cross multiply
   10,495.81x = 14,484.32 × 5,780.13
4. Step 4: Simplify right side
   10,495.81x = 83,721,151.24
5. Step 5: Solve for x
   x = 83,721,151.24/10,495.81
6. Step 6: Final answer
   x = 7,976.63