Finding the Fourth Proportional to 1,488.52, 2,232.78 and 514.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,488.52 : 2,232.78 = 514.72 : x
2. Step 2: Convert to fraction form
   1,488.52/2,232.78 = 514.72/x
3. Step 3: Cross multiply
   1,488.52x = 2,232.78 × 514.72
4. Step 4: Simplify right side
   1,488.52x = 1,149,256.52
5. Step 5: Solve for x
   x = 1,149,256.52/1,488.52
6. Step 6: Final answer
   x = 772.08