Finding the Fourth Proportional to 1,111.70, 1,667.56 and 462.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,111.70 : 1,667.56 = 462.42 : x
2. Step 2: Convert to fraction form
   1,111.70/1,667.56 = 462.42/x
3. Step 3: Cross multiply
   1,111.70x = 1,667.56 × 462.42
4. Step 4: Simplify right side
   1,111.70x = 771,113.10
5. Step 5: Solve for x
   x = 771,113.10/1,111.70
6. Step 6: Final answer
   x = 693.63