Finding the Fourth Proportional to 1,256.31, 1,733.94 and 784.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,256.31 : 1,733.94 = 784.42 : x
2. Step 2: Convert to fraction form
   1,256.31/1,733.94 = 784.42/x
3. Step 3: Cross multiply
   1,256.31x = 1,733.94 × 784.42
4. Step 4: Simplify right side
   1,256.31x = 1,360,132.88
5. Step 5: Solve for x
   x = 1,360,132.88/1,256.31
6. Step 6: Final answer
   x = 1,082.64