Finding the Fourth Proportional to 1,111.50, 1,668 and 462.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,111.50 : 1,668 = 462.24 : x
2. Step 2: Convert to fraction form
   1,111.50/1,668 = 462.24/x
3. Step 3: Cross multiply
   1,111.50x = 1,668 × 462.24
4. Step 4: Simplify right side
   1,111.50x = 771,016.32
5. Step 5: Solve for x
   x = 771,016.32/1,111.50
6. Step 6: Final answer
   x = 693.67