Finding the Fourth Proportional to 1,540.72, 2,124.12 and 1,147.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,540.72 : 2,124.12 = 1,147.06 : x
2. Step 2: Convert to fraction form
   1,540.72/2,124.12 = 1,147.06/x
3. Step 3: Cross multiply
   1,540.72x = 2,124.12 × 1,147.06
4. Step 4: Simplify right side
   1,540.72x = 2,436,493.09
5. Step 5: Solve for x
   x = 2,436,493.09/1,540.72
6. Step 6: Final answer
   x = 1,581.40