Finding the Fourth Proportional to 1,654.42, 2,282.64 and 1,025.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,654.42 : 2,282.64 = 1,025.50 : x
2. Step 2: Convert to fraction form
   1,654.42/2,282.64 = 1,025.50/x
3. Step 3: Cross multiply
   1,654.42x = 2,282.64 × 1,025.50
4. Step 4: Simplify right side
   1,654.42x = 2,340,847.32
5. Step 5: Solve for x
   x = 2,340,847.32/1,654.42
6. Step 6: Final answer
   x = 1,414.91