Finding the Fourth Proportional to 1,162.25, 1,602.20 and 742.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,162.25 : 1,602.20 = 742.55 : x
2. Step 2: Convert to fraction form
   1,162.25/1,602.20 = 742.55/x
3. Step 3: Cross multiply
   1,162.25x = 1,602.20 × 742.55
4. Step 4: Simplify right side
   1,162.25x = 1,189,709.90
5. Step 5: Solve for x
   x = 1,189,709.90/1,162.25
6. Step 6: Final answer
   x = 1,023.63