Finding the Fourth Proportional to 1,019.18, 1,529.48 and 775.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.18 : 1,529.48 = 775.98 : x
2. Step 2: Convert to fraction form
   1,019.18/1,529.48 = 775.98/x
3. Step 3: Cross multiply
   1,019.18x = 1,529.48 × 775.98
4. Step 4: Simplify right side
   1,019.18x = 1,186,847.83
5. Step 5: Solve for x
   x = 1,186,847.83/1,019.18
6. Step 6: Final answer
   x = 1,164.51