Finding the Fourth Proportional to 10,402.92, 14,355.78 and 5,687.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,402.92 : 14,355.78 = 5,687.10 : x
2. Step 2: Convert to fraction form
   10,402.92/14,355.78 = 5,687.10/x
3. Step 3: Cross multiply
   10,402.92x = 14,355.78 × 5,687.10
4. Step 4: Simplify right side
   10,402.92x = 81,642,756.44
5. Step 5: Solve for x
   x = 81,642,756.44/10,402.92
6. Step 6: Final answer
   x = 7,848.06