Finding the Fourth Proportional to 1,540.98, 2,126.52 and 842.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,540.98 : 2,126.52 = 842.40 : x
2. Step 2: Convert to fraction form
   1,540.98/2,126.52 = 842.40/x
3. Step 3: Cross multiply
   1,540.98x = 2,126.52 × 842.40
4. Step 4: Simplify right side
   1,540.98x = 1,791,380.45
5. Step 5: Solve for x
   x = 1,791,380.45/1,540.98
6. Step 6: Final answer
   x = 1,162.49