Finding the Fourth Proportional to 1,132.83, 1,698.22 and 402.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,132.83 : 1,698.22 = 402.24 : x
2. Step 2: Convert to fraction form
   1,132.83/1,698.22 = 402.24/x
3. Step 3: Cross multiply
   1,132.83x = 1,698.22 × 402.24
4. Step 4: Simplify right side
   1,132.83x = 683,086.15
5. Step 5: Solve for x
   x = 683,086.15/1,132.83
6. Step 6: Final answer
   x = 602.99