Finding the Fourth Proportional to 1,503.57, 2,074.89 and 840.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,503.57 : 2,074.89 = 840.50 : x
2. Step 2: Convert to fraction form
   1,503.57/2,074.89 = 840.50/x
3. Step 3: Cross multiply
   1,503.57x = 2,074.89 × 840.50
4. Step 4: Simplify right side
   1,503.57x = 1,743,945.05
5. Step 5: Solve for x
   x = 1,743,945.05/1,503.57
6. Step 6: Final answer
   x = 1,159.87