Finding the Fourth Proportional to 1,384.06, 1,910.15 and 824.67

Step by Step Solution

1. Step 1: Write the proportion equation
   1,384.06 : 1,910.15 = 824.67 : x
2. Step 2: Convert to fraction form
   1,384.06/1,910.15 = 824.67/x
3. Step 3: Cross multiply
   1,384.06x = 1,910.15 × 824.67
4. Step 4: Simplify right side
   1,384.06x = 1,575,243.40
5. Step 5: Solve for x
   x = 1,575,243.40/1,384.06
6. Step 6: Final answer
   x = 1,138.13