Finding the Fourth Proportional to 10,516.92, 14,513.34 and 5,801.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,516.92 : 14,513.34 = 5,801.50 : x
2. Step 2: Convert to fraction form
   10,516.92/14,513.34 = 5,801.50/x
3. Step 3: Cross multiply
   10,516.92x = 14,513.34 × 5,801.50
4. Step 4: Simplify right side
   10,516.92x = 84,199,142.01
5. Step 5: Solve for x
   x = 84,199,142.01/10,516.92
6. Step 6: Final answer
   x = 8,006.06