Finding the Fourth Proportional to 10,500.84, 14,491.62 and 5,785.29

Step by Step Solution

1. Step 1: Write the proportion equation
   10,500.84 : 14,491.62 = 5,785.29 : x
2. Step 2: Convert to fraction form
   10,500.84/14,491.62 = 5,785.29/x
3. Step 3: Cross multiply
   10,500.84x = 14,491.62 × 5,785.29
4. Step 4: Simplify right side
   10,500.84x = 83,838,224.27
5. Step 5: Solve for x
   x = 83,838,224.27/10,500.84
6. Step 6: Final answer
   x = 7,983.95