Finding the Fourth Proportional to 10,500.78, 14,491.41 and 5,785.23

Step by Step Solution

1. Step 1: Write the proportion equation
   10,500.78 : 14,491.41 = 5,785.23 : x
2. Step 2: Convert to fraction form
   10,500.78/14,491.41 = 5,785.23/x
3. Step 3: Cross multiply
   10,500.78x = 14,491.41 × 5,785.23
4. Step 4: Simplify right side
   10,500.78x = 83,836,139.87
5. Step 5: Solve for x
   x = 83,836,139.87/10,500.78
6. Step 6: Final answer
   x = 7,983.80