Finding the Fourth Proportional to 1,152.96, 1,590.24 and 779.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.96 : 1,590.24 = 779.76 : x
2. Step 2: Convert to fraction form
   1,152.96/1,590.24 = 779.76/x
3. Step 3: Cross multiply
   1,152.96x = 1,590.24 × 779.76
4. Step 4: Simplify right side
   1,152.96x = 1,240,005.54
5. Step 5: Solve for x
   x = 1,240,005.54/1,152.96
6. Step 6: Final answer
   x = 1,075.50