Finding the Fourth Proportional to 1,111.31, 1,666.76 and 461.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,111.31 : 1,666.76 = 461.69 : x
2. Step 2: Convert to fraction form
   1,111.31/1,666.76 = 461.69/x
3. Step 3: Cross multiply
   1,111.31x = 1,666.76 × 461.69
4. Step 4: Simplify right side
   1,111.31x = 769,526.42
5. Step 5: Solve for x
   x = 769,526.42/1,111.31
6. Step 6: Final answer
   x = 692.45