Finding the Fourth Proportional to 1,012.22, 1,517.71 and 464.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,012.22 : 1,517.71 = 464.57 : x
2. Step 2: Convert to fraction form
   1,012.22/1,517.71 = 464.57/x
3. Step 3: Cross multiply
   1,012.22x = 1,517.71 × 464.57
4. Step 4: Simplify right side
   1,012.22x = 705,082.53
5. Step 5: Solve for x
   x = 705,082.53/1,012.22
6. Step 6: Final answer
   x = 696.57