Finding the Fourth Proportional to 1,019.24, 1,529.76 and 778.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.24 : 1,529.76 = 778.76 : x
2. Step 2: Convert to fraction form
   1,019.24/1,529.76 = 778.76/x
3. Step 3: Cross multiply
   1,019.24x = 1,529.76 × 778.76
4. Step 4: Simplify right side
   1,019.24x = 1,191,315.90
5. Step 5: Solve for x
   x = 1,191,315.90/1,019.24
6. Step 6: Final answer
   x = 1,168.83