Finding the Fourth Proportional to 1,126.34, 1,689.71 and 510.33

Step by Step Solution

1. Step 1: Write the proportion equation
   1,126.34 : 1,689.71 = 510.33 : x
2. Step 2: Convert to fraction form
   1,126.34/1,689.71 = 510.33/x
3. Step 3: Cross multiply
   1,126.34x = 1,689.71 × 510.33
4. Step 4: Simplify right side
   1,126.34x = 862,307.15
5. Step 5: Solve for x
   x = 862,307.15/1,126.34
6. Step 6: Final answer
   x = 765.59