Finding the Fourth Proportional to 1,067.40, 1,601.46 and 742.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,067.40 : 1,601.46 = 742.50 : x
2. Step 2: Convert to fraction form
   1,067.40/1,601.46 = 742.50/x
3. Step 3: Cross multiply
   1,067.40x = 1,601.46 × 742.50
4. Step 4: Simplify right side
   1,067.40x = 1,189,084.05
5. Step 5: Solve for x
   x = 1,189,084.05/1,067.40
6. Step 6: Final answer
   x = 1,114.00