Finding the Fourth Proportional to 2,782.32, 4,174.12 and 834.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,782.32 : 4,174.12 = 834.72 : x
2. Step 2: Convert to fraction form
   2,782.32/4,174.12 = 834.72/x
3. Step 3: Cross multiply
   2,782.32x = 4,174.12 × 834.72
4. Step 4: Simplify right side
   2,782.32x = 3,484,221.45
5. Step 5: Solve for x
   x = 3,484,221.45/2,782.32
6. Step 6: Final answer
   x = 1,252.27