Finding the Fourth Proportional to 1,111.40, 1,666.42 and 461.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,111.40 : 1,666.42 = 461.80 : x
2. Step 2: Convert to fraction form
   1,111.40/1,666.42 = 461.80/x
3. Step 3: Cross multiply
   1,111.40x = 1,666.42 × 461.80
4. Step 4: Simplify right side
   1,111.40x = 769,552.76
5. Step 5: Solve for x
   x = 769,552.76/1,111.40
6. Step 6: Final answer
   x = 692.42