Finding the Fourth Proportional to 10,402.98, 14,355.81 and 5,687.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,402.98 : 14,355.81 = 5,687.16 : x
2. Step 2: Convert to fraction form
   10,402.98/14,355.81 = 5,687.16/x
3. Step 3: Cross multiply
   10,402.98x = 14,355.81 × 5,687.16
4. Step 4: Simplify right side
   10,402.98x = 81,643,788.40
5. Step 5: Solve for x
   x = 81,643,788.40/10,402.98
6. Step 6: Final answer
   x = 7,848.12