Finding the Fourth Proportional to 1,156.76, 1,596.23 and 684.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,156.76 : 1,596.23 = 684.56 : x
2. Step 2: Convert to fraction form
   1,156.76/1,596.23 = 684.56/x
3. Step 3: Cross multiply
   1,156.76x = 1,596.23 × 684.56
4. Step 4: Simplify right side
   1,156.76x = 1,092,715.21
5. Step 5: Solve for x
   x = 1,092,715.21/1,156.76
6. Step 6: Final answer
   x = 944.63