Finding the Fourth Proportional to 1,542.64, 2,128.56 and 1,046.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,542.64 : 2,128.56 = 1,046.32 : x
2. Step 2: Convert to fraction form
   1,542.64/2,128.56 = 1,046.32/x
3. Step 3: Cross multiply
   1,542.64x = 2,128.56 × 1,046.32
4. Step 4: Simplify right side
   1,542.64x = 2,227,154.90
5. Step 5: Solve for x
   x = 2,227,154.90/1,542.64
6. Step 6: Final answer
   x = 1,443.73