Finding the Fourth Proportional to 1,434.22, 2,150.72 and 509.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,434.22 : 2,150.72 = 509.46 : x
2. Step 2: Convert to fraction form
   1,434.22/2,150.72 = 509.46/x
3. Step 3: Cross multiply
   1,434.22x = 2,150.72 × 509.46
4. Step 4: Simplify right side
   1,434.22x = 1,095,705.81
5. Step 5: Solve for x
   x = 1,095,705.81/1,434.22
6. Step 6: Final answer
   x = 763.97