Finding the Fourth Proportional to 10,591.77, 14,617.31 and 6,116.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,591.77 : 14,617.31 = 6,116.34 : x
2. Step 2: Convert to fraction form
   10,591.77/14,617.31 = 6,116.34/x
3. Step 3: Cross multiply
   10,591.77x = 14,617.31 × 6,116.34
4. Step 4: Simplify right side
   10,591.77x = 89,404,407.26
5. Step 5: Solve for x
   x = 89,404,407.26/10,591.77
6. Step 6: Final answer
   x = 8,440.93