Finding the Fourth Proportional to 1,507.34, 2,259.18 and 685.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,507.34 : 2,259.18 = 685.40 : x
2. Step 2: Convert to fraction form
   1,507.34/2,259.18 = 685.40/x
3. Step 3: Cross multiply
   1,507.34x = 2,259.18 × 685.40
4. Step 4: Simplify right side
   1,507.34x = 1,548,441.97
5. Step 5: Solve for x
   x = 1,548,441.97/1,507.34
6. Step 6: Final answer
   x = 1,027.27