Finding the Fourth Proportional to 10,616.71, 14,650.86 and 5,836.77

Step by Step Solution

1. Step 1: Write the proportion equation
   10,616.71 : 14,650.86 = 5,836.77 : x
2. Step 2: Convert to fraction form
   10,616.71/14,650.86 = 5,836.77/x
3. Step 3: Cross multiply
   10,616.71x = 14,650.86 × 5,836.77
4. Step 4: Simplify right side
   10,616.71x = 85,513,700.12
5. Step 5: Solve for x
   x = 85,513,700.12/10,616.71
6. Step 6: Final answer
   x = 8,054.63