Finding the Fourth Proportional to 1,507.63, 2,259.55 and 814.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,507.63 : 2,259.55 = 814.27 : x
2. Step 2: Convert to fraction form
   1,507.63/2,259.55 = 814.27/x
3. Step 3: Cross multiply
   1,507.63x = 2,259.55 × 814.27
4. Step 4: Simplify right side
   1,507.63x = 1,839,883.78
5. Step 5: Solve for x
   x = 1,839,883.78/1,507.63
6. Step 6: Final answer
   x = 1,220.38