Finding the Fourth Proportional to 1,110.59, 1,665.89 and 461.33

Step by Step Solution

1. Step 1: Write the proportion equation
   1,110.59 : 1,665.89 = 461.33 : x
2. Step 2: Convert to fraction form
   1,110.59/1,665.89 = 461.33/x
3. Step 3: Cross multiply
   1,110.59x = 1,665.89 × 461.33
4. Step 4: Simplify right side
   1,110.59x = 768,522.37
5. Step 5: Solve for x
   x = 768,522.37/1,110.59
6. Step 6: Final answer
   x = 692.00