Finding the Fourth Proportional to 1,602, 2,209.55 and 1,105.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,602 : 2,209.55 = 1,105.47 : x
2. Step 2: Convert to fraction form
   1,602/2,209.55 = 1,105.47/x
3. Step 3: Cross multiply
   1,602x = 2,209.55 × 1,105.47
4. Step 4: Simplify right side
   1,602x = 2,442,585.71
5. Step 5: Solve for x
   x = 2,442,585.71/1,602
6. Step 6: Final answer
   x = 1,524.71