Finding the Fourth Proportional to 1,155.12, 1,594.50 and 784.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,155.12 : 1,594.50 = 784.02 : x
2. Step 2: Convert to fraction form
   1,155.12/1,594.50 = 784.02/x
3. Step 3: Cross multiply
   1,155.12x = 1,594.50 × 784.02
4. Step 4: Simplify right side
   1,155.12x = 1,250,119.89
5. Step 5: Solve for x
   x = 1,250,119.89/1,155.12
6. Step 6: Final answer
   x = 1,082.24