Finding the Fourth Proportional to 1,161.74, 1,602.25 and 742.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,161.74 : 1,602.25 = 742.10 : x
2. Step 2: Convert to fraction form
   1,161.74/1,602.25 = 742.10/x
3. Step 3: Cross multiply
   1,161.74x = 1,602.25 × 742.10
4. Step 4: Simplify right side
   1,161.74x = 1,189,019.86
5. Step 5: Solve for x
   x = 1,189,019.86/1,161.74
6. Step 6: Final answer
   x = 1,023.48