Finding the Fourth Proportional to 1,111.50, 1,666.94 and 461.43

Step by Step Solution

1. Step 1: Write the proportion equation
   1,111.50 : 1,666.94 = 461.43 : x
2. Step 2: Convert to fraction form
   1,111.50/1,666.94 = 461.43/x
3. Step 3: Cross multiply
   1,111.50x = 1,666.94 × 461.43
4. Step 4: Simplify right side
   1,111.50x = 769,173.82
5. Step 5: Solve for x
   x = 769,173.82/1,111.50
6. Step 6: Final answer
   x = 692.01