Finding the Fourth Proportional to 1,488.18, 2,230.89 and 514.07

Step by Step Solution

1. Step 1: Write the proportion equation
   1,488.18 : 2,230.89 = 514.07 : x
2. Step 2: Convert to fraction form
   1,488.18/2,230.89 = 514.07/x
3. Step 3: Cross multiply
   1,488.18x = 2,230.89 × 514.07
4. Step 4: Simplify right side
   1,488.18x = 1,146,822.47
5. Step 5: Solve for x
   x = 1,146,822.47/1,488.18
6. Step 6: Final answer
   x = 770.62