Finding the Fourth Proportional to 1,484.88, 2,227.89 and 510.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,484.88 : 2,227.89 = 510.42 : x
2. Step 2: Convert to fraction form
   1,484.88/2,227.89 = 510.42/x
3. Step 3: Cross multiply
   1,484.88x = 2,227.89 × 510.42
4. Step 4: Simplify right side
   1,484.88x = 1,137,159.61
5. Step 5: Solve for x
   x = 1,137,159.61/1,484.88
6. Step 6: Final answer
   x = 765.83