Finding the Fourth Proportional to 1,540.12, 2,124.68 and 1,009.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,540.12 : 2,124.68 = 1,009.57 : x
2. Step 2: Convert to fraction form
   1,540.12/2,124.68 = 1,009.57/x
3. Step 3: Cross multiply
   1,540.12x = 2,124.68 × 1,009.57
4. Step 4: Simplify right side
   1,540.12x = 2,145,002.83
5. Step 5: Solve for x
   x = 2,145,002.83/1,540.12
6. Step 6: Final answer
   x = 1,392.75