Finding the Fourth Proportional to 10,500.96, 14,491.35 and 5,785.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,500.96 : 14,491.35 = 5,785.32 : x
2. Step 2: Convert to fraction form
   10,500.96/14,491.35 = 5,785.32/x
3. Step 3: Cross multiply
   10,500.96x = 14,491.35 × 5,785.32
4. Step 4: Simplify right side
   10,500.96x = 83,837,096.98
5. Step 5: Solve for x
   x = 83,837,096.98/10,500.96
6. Step 6: Final answer
   x = 7,983.76