Finding the Fourth Proportional to 10,007.68, 13,812.51 and 5,761.57

Step by Step Solution

1. Step 1: Write the proportion equation
   10,007.68 : 13,812.51 = 5,761.57 : x
2. Step 2: Convert to fraction form
   10,007.68/13,812.51 = 5,761.57/x
3. Step 3: Cross multiply
   10,007.68x = 13,812.51 × 5,761.57
4. Step 4: Simplify right side
   10,007.68x = 79,581,743.24
5. Step 5: Solve for x
   x = 79,581,743.24/10,007.68
6. Step 6: Final answer
   x = 7,952.07