Finding the Fourth Proportional to 10,402.05, 14,354.87 and 5,686.41

Step by Step Solution

1. Step 1: Write the proportion equation
   10,402.05 : 14,354.87 = 5,686.41 : x
2. Step 2: Convert to fraction form
   10,402.05/14,354.87 = 5,686.41/x
3. Step 3: Cross multiply
   10,402.05x = 14,354.87 × 5,686.41
4. Step 4: Simplify right side
   10,402.05x = 81,627,647.88
5. Step 5: Solve for x
   x = 81,627,647.88/10,402.05
6. Step 6: Final answer
   x = 7,847.27