Finding the Fourth Proportional to 10,616.58, 14,651.16 and 6,141.72

Step by Step Solution

1. Step 1: Write the proportion equation
   10,616.58 : 14,651.16 = 6,141.72 : x
2. Step 2: Convert to fraction form
   10,616.58/14,651.16 = 6,141.72/x
3. Step 3: Cross multiply
   10,616.58x = 14,651.16 × 6,141.72
4. Step 4: Simplify right side
   10,616.58x = 89,983,322.40
5. Step 5: Solve for x
   x = 89,983,322.40/10,616.58
6. Step 6: Final answer
   x = 8,475.74