Finding the Fourth Proportional to 10,402.41, 14,354.91 and 5,686.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,402.41 : 14,354.91 = 5,686.86 : x
2. Step 2: Convert to fraction form
   10,402.41/14,354.91 = 5,686.86/x
3. Step 3: Cross multiply
   10,402.41x = 14,354.91 × 5,686.86
4. Step 4: Simplify right side
   10,402.41x = 81,634,363.48
5. Step 5: Solve for x
   x = 81,634,363.48/10,402.41
6. Step 6: Final answer
   x = 7,847.64