Finding the Fourth Proportional to 1,104.88, 1,525.71 and 824.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,104.88 : 1,525.71 = 824.63 : x
2. Step 2: Convert to fraction form
   1,104.88/1,525.71 = 824.63/x
3. Step 3: Cross multiply
   1,104.88x = 1,525.71 × 824.63
4. Step 4: Simplify right side
   1,104.88x = 1,258,138.61
5. Step 5: Solve for x
   x = 1,258,138.61/1,104.88
6. Step 6: Final answer
   x = 1,138.72