Finding the Fourth Proportional to 1,096.52, 1,644.24 and 402.67

Step by Step Solution

1. Step 1: Write the proportion equation
   1,096.52 : 1,644.24 = 402.67 : x
2. Step 2: Convert to fraction form
   1,096.52/1,644.24 = 402.67/x
3. Step 3: Cross multiply
   1,096.52x = 1,644.24 × 402.67
4. Step 4: Simplify right side
   1,096.52x = 662,077.90
5. Step 5: Solve for x
   x = 662,077.90/1,096.52
6. Step 6: Final answer
   x = 603.80