Finding the Fourth Proportional to 10,591.46, 14,617.97 and 5,877.26

Step by Step Solution

1. Step 1: Write the proportion equation
   10,591.46 : 14,617.97 = 5,877.26 : x
2. Step 2: Convert to fraction form
   10,591.46/14,617.97 = 5,877.26/x
3. Step 3: Cross multiply
   10,591.46x = 14,617.97 × 5,877.26
4. Step 4: Simplify right side
   10,591.46x = 85,913,507.89
5. Step 5: Solve for x
   x = 85,913,507.89/10,591.46
6. Step 6: Final answer
   x = 8,111.59