Finding the Fourth Proportional to 10,591.98, 14,616.90 and 5,876.70

Step by Step Solution

1. Step 1: Write the proportion equation
   10,591.98 : 14,616.90 = 5,876.70 : x
2. Step 2: Convert to fraction form
   10,591.98/14,616.90 = 5,876.70/x
3. Step 3: Cross multiply
   10,591.98x = 14,616.90 × 5,876.70
4. Step 4: Simplify right side
   10,591.98x = 85,899,136.23
5. Step 5: Solve for x
   x = 85,899,136.23/10,591.98
6. Step 6: Final answer
   x = 8,109.83