Finding the Fourth Proportional to 5,200.31, 7,176.50 and 2,842.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,200.31 : 7,176.50 = 2,842.50 : x
2. Step 2: Convert to fraction form
   5,200.31/7,176.50 = 2,842.50/x
3. Step 3: Cross multiply
   5,200.31x = 7,176.50 × 2,842.50
4. Step 4: Simplify right side
   5,200.31x = 20,399,224.61
5. Step 5: Solve for x
   x = 20,399,224.61/5,200.31
6. Step 6: Final answer
   x = 3,922.69