Finding the Fourth Proportional to 10,591.64, 14,616.24 and 5,875.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,591.64 : 14,616.24 = 5,875.82 : x
2. Step 2: Convert to fraction form
   10,591.64/14,616.24 = 5,875.82/x
3. Step 3: Cross multiply
   10,591.64x = 14,616.24 × 5,875.82
4. Step 4: Simplify right side
   10,591.64x = 85,882,395.32
5. Step 5: Solve for x
   x = 85,882,395.32/10,591.64
6. Step 6: Final answer
   x = 8,108.51