Finding the Fourth Proportional to 10,402.61, 14,355.60 and 5,686.89

Step by Step Solution

1. Step 1: Write the proportion equation
   10,402.61 : 14,355.60 = 5,686.89 : x
2. Step 2: Convert to fraction form
   10,402.61/14,355.60 = 5,686.89/x
3. Step 3: Cross multiply
   10,402.61x = 14,355.60 × 5,686.89
4. Step 4: Simplify right side
   10,402.61x = 81,638,718.08
5. Step 5: Solve for x
   x = 81,638,718.08/10,402.61
6. Step 6: Final answer
   x = 7,847.91