Finding the Fourth Proportional to 1,384.22, 1,910.22 and 824.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,384.22 : 1,910.22 = 824.57 : x
2. Step 2: Convert to fraction form
   1,384.22/1,910.22 = 824.57/x
3. Step 3: Cross multiply
   1,384.22x = 1,910.22 × 824.57
4. Step 4: Simplify right side
   1,384.22x = 1,575,110.11
5. Step 5: Solve for x
   x = 1,575,110.11/1,384.22
6. Step 6: Final answer
   x = 1,137.91