Finding the Fourth Proportional to 1,156.53, 1,596.15 and 784.33

Step by Step Solution

1. Step 1: Write the proportion equation
   1,156.53 : 1,596.15 = 784.33 : x
2. Step 2: Convert to fraction form
   1,156.53/1,596.15 = 784.33/x
3. Step 3: Cross multiply
   1,156.53x = 1,596.15 × 784.33
4. Step 4: Simplify right side
   1,156.53x = 1,251,908.33
5. Step 5: Solve for x
   x = 1,251,908.33/1,156.53
6. Step 6: Final answer
   x = 1,082.47