Finding the Fourth Proportional to 5,642.82, 7,785.54 and 3,517.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,642.82 : 7,785.54 = 3,517.50 : x
2. Step 2: Convert to fraction form
   5,642.82/7,785.54 = 3,517.50/x
3. Step 3: Cross multiply
   5,642.82x = 7,785.54 × 3,517.50
4. Step 4: Simplify right side
   5,642.82x = 27,385,636.95
5. Step 5: Solve for x
   x = 27,385,636.95/5,642.82
6. Step 6: Final answer
   x = 4,853.18