Finding the Fourth Proportional to 1,139.46, 1,571.56 and 824.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,139.46 : 1,571.56 = 824.77 : x
2. Step 2: Convert to fraction form
   1,139.46/1,571.56 = 824.77/x
3. Step 3: Cross multiply
   1,139.46x = 1,571.56 × 824.77
4. Step 4: Simplify right side
   1,139.46x = 1,296,175.54
5. Step 5: Solve for x
   x = 1,296,175.54/1,139.46
6. Step 6: Final answer
   x = 1,137.53