Finding the Fourth Proportional to 1,152.43, 1,589.84 and 779.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.43 : 1,589.84 = 779.27 : x
2. Step 2: Convert to fraction form
   1,152.43/1,589.84 = 779.27/x
3. Step 3: Cross multiply
   1,152.43x = 1,589.84 × 779.27
4. Step 4: Simplify right side
   1,152.43x = 1,238,902.77
5. Step 5: Solve for x
   x = 1,238,902.77/1,152.43
6. Step 6: Final answer
   x = 1,075.04