Finding the Fourth Proportional to 1,276.57, 1,761.20 and 834.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,276.57 : 1,761.20 = 834.72 : x
2. Step 2: Convert to fraction form
   1,276.57/1,761.20 = 834.72/x
3. Step 3: Cross multiply
   1,276.57x = 1,761.20 × 834.72
4. Step 4: Simplify right side
   1,276.57x = 1,470,111.12
5. Step 5: Solve for x
   x = 1,470,111.12/1,276.57
6. Step 6: Final answer
   x = 1,151.61