Finding the Fourth Proportional to 2,587.50, 3,875.31 and 1,650.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,587.50 : 3,875.31 = 1,650.42 : x
2. Step 2: Convert to fraction form
   2,587.50/3,875.31 = 1,650.42/x
3. Step 3: Cross multiply
   2,587.50x = 3,875.31 × 1,650.42
4. Step 4: Simplify right side
   2,587.50x = 6,395,889.13
5. Step 5: Solve for x
   x = 6,395,889.13/2,587.50
6. Step 6: Final answer
   x = 2,471.84