Finding the Fourth Proportional to 10,402.12, 14,354.52 and 5,686.48

Step by Step Solution

1. Step 1: Write the proportion equation
   10,402.12 : 14,354.52 = 5,686.48 : x
2. Step 2: Convert to fraction form
   10,402.12/14,354.52 = 5,686.48/x
3. Step 3: Cross multiply
   10,402.12x = 14,354.52 × 5,686.48
4. Step 4: Simplify right side
   10,402.12x = 81,626,690.89
5. Step 5: Solve for x
   x = 81,626,690.89/10,402.12
6. Step 6: Final answer
   x = 7,847.12