Finding the Fourth Proportional to 1,434.31, 2,152.50 and 509.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,434.31 : 2,152.50 = 509.88 : x
2. Step 2: Convert to fraction form
   1,434.31/2,152.50 = 509.88/x
3. Step 3: Cross multiply
   1,434.31x = 2,152.50 × 509.88
4. Step 4: Simplify right side
   1,434.31x = 1,097,507.21
5. Step 5: Solve for x
   x = 1,097,507.21/1,434.31
6. Step 6: Final answer
   x = 765.18