Finding the Fourth Proportional to 10,591.77, 14,616.47 and 5,875.95

Step by Step Solution

1. Step 1: Write the proportion equation
   10,591.77 : 14,616.47 = 5,875.95 : x
2. Step 2: Convert to fraction form
   10,591.77/14,616.47 = 5,875.95/x
3. Step 3: Cross multiply
   10,591.77x = 14,616.47 × 5,875.95
4. Step 4: Simplify right side
   10,591.77x = 85,885,617.52
5. Step 5: Solve for x
   x = 85,885,617.52/10,591.77
6. Step 6: Final answer
   x = 8,108.71