Finding the Fourth Proportional to 1,384.26, 1,910.28 and 824.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,384.26 : 1,910.28 = 824.72 : x
2. Step 2: Convert to fraction form
   1,384.26/1,910.28 = 824.72/x
3. Step 3: Cross multiply
   1,384.26x = 1,910.28 × 824.72
4. Step 4: Simplify right side
   1,384.26x = 1,575,436.57
5. Step 5: Solve for x
   x = 1,575,436.57/1,384.26
6. Step 6: Final answer
   x = 1,138.11