Finding the Fourth Proportional to 10,006.50, 13,810.04 and 5,757.74

Step by Step Solution

1. Step 1: Write the proportion equation
   10,006.50 : 13,810.04 = 5,757.74 : x
2. Step 2: Convert to fraction form
   10,006.50/13,810.04 = 5,757.74/x
3. Step 3: Cross multiply
   10,006.50x = 13,810.04 × 5,757.74
4. Step 4: Simplify right side
   10,006.50x = 79,514,619.71
5. Step 5: Solve for x
   x = 79,514,619.71/10,006.50
6. Step 6: Final answer
   x = 7,946.30