Finding the Fourth Proportional to 1,507.24, 2,259.27 and 856.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,507.24 : 2,259.27 = 856.57 : x
2. Step 2: Convert to fraction form
   1,507.24/2,259.27 = 856.57/x
3. Step 3: Cross multiply
   1,507.24x = 2,259.27 × 856.57
4. Step 4: Simplify right side
   1,507.24x = 1,935,222.90
5. Step 5: Solve for x
   x = 1,935,222.90/1,507.24
6. Step 6: Final answer
   x = 1,283.95