Finding the Fourth Proportional to 1,156.78, 1,596.27 and 783.91

Step by Step Solution

1. Step 1: Write the proportion equation
   1,156.78 : 1,596.27 = 783.91 : x
2. Step 2: Convert to fraction form
   1,156.78/1,596.27 = 783.91/x
3. Step 3: Cross multiply
   1,156.78x = 1,596.27 × 783.91
4. Step 4: Simplify right side
   1,156.78x = 1,251,332.02
5. Step 5: Solve for x
   x = 1,251,332.02/1,156.78
6. Step 6: Final answer
   x = 1,081.74