Finding the Fourth Proportional to 10,500.21, 14,491.17 and 5,785.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,500.21 : 14,491.17 = 5,785.38 : x
2. Step 2: Convert to fraction form
   10,500.21/14,491.17 = 5,785.38/x
3. Step 3: Cross multiply
   10,500.21x = 14,491.17 × 5,785.38
4. Step 4: Simplify right side
   10,500.21x = 83,836,925.09
5. Step 5: Solve for x
   x = 83,836,925.09/10,500.21
6. Step 6: Final answer
   x = 7,984.31