Finding the Fourth Proportional to 1,488.63, 2,233.24 and 514.60

Step by Step Solution

1. Step 1: Write the proportion equation
   1,488.63 : 2,233.24 = 514.60 : x
2. Step 2: Convert to fraction form
   1,488.63/2,233.24 = 514.60/x
3. Step 3: Cross multiply
   1,488.63x = 2,233.24 × 514.60
4. Step 4: Simplify right side
   1,488.63x = 1,149,225.30
5. Step 5: Solve for x
   x = 1,149,225.30/1,488.63
6. Step 6: Final answer
   x = 772.00