Finding the Fourth Proportional to 1,503.57, 2,074.92 and 840.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,503.57 : 2,074.92 = 840.42 : x
2. Step 2: Convert to fraction form
   1,503.57/2,074.92 = 840.42/x
3. Step 3: Cross multiply
   1,503.57x = 2,074.92 × 840.42
4. Step 4: Simplify right side
   1,503.57x = 1,743,809.45
5. Step 5: Solve for x
   x = 1,743,809.45/1,503.57
6. Step 6: Final answer
   x = 1,159.78