Finding the Fourth Proportional to 10,620.88, 14,657.14 and 5,906.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,620.88 : 14,657.14 = 5,906.10 : x
2. Step 2: Convert to fraction form
   10,620.88/14,657.14 = 5,906.10/x
3. Step 3: Cross multiply
   10,620.88x = 14,657.14 × 5,906.10
4. Step 4: Simplify right side
   10,620.88x = 86,566,534.55
5. Step 5: Solve for x
   x = 86,566,534.55/10,620.88
6. Step 6: Final answer
   x = 8,150.60