Finding the Fourth Proportional to 1,256.59, 1,733.89 and 784.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,256.59 : 1,733.89 = 784.41 : x
2. Step 2: Convert to fraction form
   1,256.59/1,733.89 = 784.41/x
3. Step 3: Cross multiply
   1,256.59x = 1,733.89 × 784.41
4. Step 4: Simplify right side
   1,256.59x = 1,360,080.65
5. Step 5: Solve for x
   x = 1,360,080.65/1,256.59
6. Step 6: Final answer
   x = 1,082.36