Finding the Fourth Proportional to 3,785.52, 5,641.61 and 3,588.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,785.52 : 5,641.61 = 3,588.69 : x
2. Step 2: Convert to fraction form
   3,785.52/5,641.61 = 3,588.69/x
3. Step 3: Cross multiply
   3,785.52x = 5,641.61 × 3,588.69
4. Step 4: Simplify right side
   3,785.52x = 20,245,989.39
5. Step 5: Solve for x
   x = 20,245,989.39/3,785.52
6. Step 6: Final answer
   x = 5,348.27