Finding the Fourth Proportional to 10,589.59, 14,612.56 and 6,114.77

Step by Step Solution

1. Step 1: Write the proportion equation
   10,589.59 : 14,612.56 = 6,114.77 : x
2. Step 2: Convert to fraction form
   10,589.59/14,612.56 = 6,114.77/x
3. Step 3: Cross multiply
   10,589.59x = 14,612.56 × 6,114.77
4. Step 4: Simplify right side
   10,589.59x = 89,352,443.51
5. Step 5: Solve for x
   x = 89,352,443.51/10,589.59
6. Step 6: Final answer
   x = 8,437.76