Finding the Fourth Proportional to 1,256.30, 1,734.71 and 784.74

Step by Step Solution

1. Step 1: Write the proportion equation
   1,256.30 : 1,734.71 = 784.74 : x
2. Step 2: Convert to fraction form
   1,256.30/1,734.71 = 784.74/x
3. Step 3: Cross multiply
   1,256.30x = 1,734.71 × 784.74
4. Step 4: Simplify right side
   1,256.30x = 1,361,296.33
5. Step 5: Solve for x
   x = 1,361,296.33/1,256.30
6. Step 6: Final answer
   x = 1,083.58