Finding the Fourth Proportional to 10,232.38, 14,120.75 and 5,756.09

Step by Step Solution

1. Step 1: Write the proportion equation
   10,232.38 : 14,120.75 = 5,756.09 : x
2. Step 2: Convert to fraction form
   10,232.38/14,120.75 = 5,756.09/x
3. Step 3: Cross multiply
   10,232.38x = 14,120.75 × 5,756.09
4. Step 4: Simplify right side
   10,232.38x = 81,280,279.09
5. Step 5: Solve for x
   x = 81,280,279.09/10,232.38
6. Step 6: Final answer
   x = 7,943.44