Finding the Fourth Proportional to 10,007.97, 13,812.77 and 5,758.70

Step by Step Solution

1. Step 1: Write the proportion equation
   10,007.97 : 13,812.77 = 5,758.70 : x
2. Step 2: Convert to fraction form
   10,007.97/13,812.77 = 5,758.70/x
3. Step 3: Cross multiply
   10,007.97x = 13,812.77 × 5,758.70
4. Step 4: Simplify right side
   10,007.97x = 79,543,500.74
5. Step 5: Solve for x
   x = 79,543,500.74/10,007.97
6. Step 6: Final answer
   x = 7,948.02