Finding the Fourth Proportional to 1,156.83, 1,596.06 and 684.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,156.83 : 1,596.06 = 684.78 : x
2. Step 2: Convert to fraction form
   1,156.83/1,596.06 = 684.78/x
3. Step 3: Cross multiply
   1,156.83x = 1,596.06 × 684.78
4. Step 4: Simplify right side
   1,156.83x = 1,092,949.97
5. Step 5: Solve for x
   x = 1,092,949.97/1,156.83
6. Step 6: Final answer
   x = 944.78