Finding the Fourth Proportional to 10,591.98, 14,617.62 and 5,876.27

Step by Step Solution

1. Step 1: Write the proportion equation
   10,591.98 : 14,617.62 = 5,876.27 : x
2. Step 2: Convert to fraction form
   10,591.98/14,617.62 = 5,876.27/x
3. Step 3: Cross multiply
   10,591.98x = 14,617.62 × 5,876.27
4. Step 4: Simplify right side
   10,591.98x = 85,897,081.88
5. Step 5: Solve for x
   x = 85,897,081.88/10,591.98
6. Step 6: Final answer
   x = 8,109.63