Finding the Fourth Proportional to 1,440.59, 2,159.17 and 824.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,440.59 : 2,159.17 = 824.72 : x
2. Step 2: Convert to fraction form
   1,440.59/2,159.17 = 824.72/x
3. Step 3: Cross multiply
   1,440.59x = 2,159.17 × 824.72
4. Step 4: Simplify right side
   1,440.59x = 1,780,697.82
5. Step 5: Solve for x
   x = 1,780,697.82/1,440.59
6. Step 6: Final answer
   x = 1,236.09