Finding the Fourth Proportional to 1,434.91, 2,152.17 and 510.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,434.91 : 2,152.17 = 510.22 : x
2. Step 2: Convert to fraction form
   1,434.91/2,152.17 = 510.22/x
3. Step 3: Cross multiply
   1,434.91x = 2,152.17 × 510.22
4. Step 4: Simplify right side
   1,434.91x = 1,098,080.18
5. Step 5: Solve for x
   x = 1,098,080.18/1,434.91
6. Step 6: Final answer
   x = 765.26