Finding the Fourth Proportional to 1,488.78, 2,233.47 and 514.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,488.78 : 2,233.47 = 514.96 : x
2. Step 2: Convert to fraction form
   1,488.78/2,233.47 = 514.96/x
3. Step 3: Cross multiply
   1,488.78x = 2,233.47 × 514.96
4. Step 4: Simplify right side
   1,488.78x = 1,150,144.06
5. Step 5: Solve for x
   x = 1,150,144.06/1,488.78
6. Step 6: Final answer
   x = 772.54