Finding the Fourth Proportional to 1,111.75, 1,667.31 and 461.68

Step by Step Solution

1. Step 1: Write the proportion equation
   1,111.75 : 1,667.31 = 461.68 : x
2. Step 2: Convert to fraction form
   1,111.75/1,667.31 = 461.68/x
3. Step 3: Cross multiply
   1,111.75x = 1,667.31 × 461.68
4. Step 4: Simplify right side
   1,111.75x = 769,763.68
5. Step 5: Solve for x
   x = 769,763.68/1,111.75
6. Step 6: Final answer
   x = 692.39