Finding the Fourth Proportional to 5,641.72, 7,785.46 and 3,123.68

Step by Step Solution

1. Step 1: Write the proportion equation
   5,641.72 : 7,785.46 = 3,123.68 : x
2. Step 2: Convert to fraction form
   5,641.72/7,785.46 = 3,123.68/x
3. Step 3: Cross multiply
   5,641.72x = 7,785.46 × 3,123.68
4. Step 4: Simplify right side
   5,641.72x = 24,319,285.69
5. Step 5: Solve for x
   x = 24,319,285.69/5,641.72
6. Step 6: Final answer
   x = 4,310.62