Finding the Fourth Proportional to 5,642.29, 7,785.69 and 3,488.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,642.29 : 7,785.69 = 3,488.50 : x
2. Step 2: Convert to fraction form
   5,642.29/7,785.69 = 3,488.50/x
3. Step 3: Cross multiply
   5,642.29x = 7,785.69 × 3,488.50
4. Step 4: Simplify right side
   5,642.29x = 27,160,347.02
5. Step 5: Solve for x
   x = 27,160,347.02/5,642.29
6. Step 6: Final answer
   x = 4,813.71