Finding the Fourth Proportional to 1,111.18, 1,667.05 and 461.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,111.18 : 1,667.05 = 461.78 : x
2. Step 2: Convert to fraction form
   1,111.18/1,667.05 = 461.78/x
3. Step 3: Cross multiply
   1,111.18x = 1,667.05 × 461.78
4. Step 4: Simplify right side
   1,111.18x = 769,810.35
5. Step 5: Solve for x
   x = 769,810.35/1,111.18
6. Step 6: Final answer
   x = 692.79