Finding the Fourth Proportional to 1,074.88, 1,482.42 and 742.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,074.88 : 1,482.42 = 742.78 : x
2. Step 2: Convert to fraction form
   1,074.88/1,482.42 = 742.78/x
3. Step 3: Cross multiply
   1,074.88x = 1,482.42 × 742.78
4. Step 4: Simplify right side
   1,074.88x = 1,101,111.93
5. Step 5: Solve for x
   x = 1,101,111.93/1,074.88
6. Step 6: Final answer
   x = 1,024.40