Finding the Fourth Proportional to 749.42, 1,123.59 and 460.25

Step by Step Solution

1. Step 1: Write the proportion equation
   749.42 : 1,123.59 = 460.25 : x
2. Step 2: Convert to fraction form
   749.42/1,123.59 = 460.25/x
3. Step 3: Cross multiply
   749.42x = 1,123.59 × 460.25
4. Step 4: Simplify right side
   749.42x = 517,132.30
5. Step 5: Solve for x
   x = 517,132.30/749.42
6. Step 6: Final answer
   x = 690.04