Finding the Fourth Proportional to 1,111.11, 1,665.76 and 462.33

Step by Step Solution

1. Step 1: Write the proportion equation
   1,111.11 : 1,665.76 = 462.33 : x
2. Step 2: Convert to fraction form
   1,111.11/1,665.76 = 462.33/x
3. Step 3: Cross multiply
   1,111.11x = 1,665.76 × 462.33
4. Step 4: Simplify right side
   1,111.11x = 770,121.34
5. Step 5: Solve for x
   x = 770,121.34/1,111.11
6. Step 6: Final answer
   x = 693.11