Finding the Fourth Proportional to 1,255.97, 1,733.42 and 784.35

Step by Step Solution

1. Step 1: Write the proportion equation
   1,255.97 : 1,733.42 = 784.35 : x
2. Step 2: Convert to fraction form
   1,255.97/1,733.42 = 784.35/x
3. Step 3: Cross multiply
   1,255.97x = 1,733.42 × 784.35
4. Step 4: Simplify right side
   1,255.97x = 1,359,609.94
5. Step 5: Solve for x
   x = 1,359,609.94/1,255.97
6. Step 6: Final answer
   x = 1,082.52