Finding the Fourth Proportional to 5,581.50, 7,702.47 and 3,097.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,581.50 : 7,702.47 = 3,097.50 : x
2. Step 2: Convert to fraction form
   5,581.50/7,702.47 = 3,097.50/x
3. Step 3: Cross multiply
   5,581.50x = 7,702.47 × 3,097.50
4. Step 4: Simplify right side
   5,581.50x = 23,858,400.83
5. Step 5: Solve for x
   x = 23,858,400.83/5,581.50
6. Step 6: Final answer
   x = 4,274.55