Finding the Fourth Proportional to 5,642.33, 7,785.01 and 3,650.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,642.33 : 7,785.01 = 3,650.50 : x
2. Step 2: Convert to fraction form
   5,642.33/7,785.01 = 3,650.50/x
3. Step 3: Cross multiply
   5,642.33x = 7,785.01 × 3,650.50
4. Step 4: Simplify right side
   5,642.33x = 28,419,193.30
5. Step 5: Solve for x
   x = 28,419,193.30/5,642.33
6. Step 6: Final answer
   x = 5,036.79