Finding the Fourth Proportional to 1,157.94, 1,597.37 and 784.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,157.94 : 1,597.37 = 784.80 : x
2. Step 2: Convert to fraction form
   1,157.94/1,597.37 = 784.80/x
3. Step 3: Cross multiply
   1,157.94x = 1,597.37 × 784.80
4. Step 4: Simplify right side
   1,157.94x = 1,253,612.05
5. Step 5: Solve for x
   x = 1,253,612.05/1,157.94
6. Step 6: Final answer
   x = 1,082.62