Finding the Fourth Proportional to 1,540.78, 2,311.82 and 1,047.74

Step by Step Solution

1. Step 1: Write the proportion equation
   1,540.78 : 2,311.82 = 1,047.74 : x
2. Step 2: Convert to fraction form
   1,540.78/2,311.82 = 1,047.74/x
3. Step 3: Cross multiply
   1,540.78x = 2,311.82 × 1,047.74
4. Step 4: Simplify right side
   1,540.78x = 2,422,186.29
5. Step 5: Solve for x
   x = 2,422,186.29/1,540.78
6. Step 6: Final answer
   x = 1,572.05