Finding the Fourth Proportional to 1,111.12, 1,666.52 and 461.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,111.12 : 1,666.52 = 461.84 : x
2. Step 2: Convert to fraction form
   1,111.12/1,666.52 = 461.84/x
3. Step 3: Cross multiply
   1,111.12x = 1,666.52 × 461.84
4. Step 4: Simplify right side
   1,111.12x = 769,665.60
5. Step 5: Solve for x
   x = 769,665.60/1,111.12
6. Step 6: Final answer
   x = 692.69