Finding the Fourth Proportional to 1,255.86, 1,733.91 and 784.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,255.86 : 1,733.91 = 784.47 : x
2. Step 2: Convert to fraction form
   1,255.86/1,733.91 = 784.47/x
3. Step 3: Cross multiply
   1,255.86x = 1,733.91 × 784.47
4. Step 4: Simplify right side
   1,255.86x = 1,360,200.38
5. Step 5: Solve for x
   x = 1,360,200.38/1,255.86
6. Step 6: Final answer
   x = 1,083.08