Finding the Fourth Proportional to 1,030.24, 1,544.55 and 510.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,030.24 : 1,544.55 = 510.42 : x
2. Step 2: Convert to fraction form
   1,030.24/1,544.55 = 510.42/x
3. Step 3: Cross multiply
   1,030.24x = 1,544.55 × 510.42
4. Step 4: Simplify right side
   1,030.24x = 788,369.21
5. Step 5: Solve for x
   x = 788,369.21/1,030.24
6. Step 6: Final answer
   x = 765.23