Finding the Fourth Proportional to 10,436.75, 14,402.61 and 5,656.74

Step by Step Solution

1. Step 1: Write the proportion equation
   10,436.75 : 14,402.61 = 5,656.74 : x
2. Step 2: Convert to fraction form
   10,436.75/14,402.61 = 5,656.74/x
3. Step 3: Cross multiply
   10,436.75x = 14,402.61 × 5,656.74
4. Step 4: Simplify right side
   10,436.75x = 81,471,766.08
5. Step 5: Solve for x
   x = 81,471,766.08/10,436.75
6. Step 6: Final answer
   x = 7,806.24