Finding the Fourth Proportional to 1,157.92, 1,598.59 and 766.08

Step by Step Solution

1. Step 1: Write the proportion equation
   1,157.92 : 1,598.59 = 766.08 : x
2. Step 2: Convert to fraction form
   1,157.92/1,598.59 = 766.08/x
3. Step 3: Cross multiply
   1,157.92x = 1,598.59 × 766.08
4. Step 4: Simplify right side
   1,157.92x = 1,224,647.83
5. Step 5: Solve for x
   x = 1,224,647.83/1,157.92
6. Step 6: Final answer
   x = 1,057.63