Finding the Fourth Proportional to 1,384.82, 1,910.06 and 824.85

Step by Step Solution

1. Step 1: Write the proportion equation
   1,384.82 : 1,910.06 = 824.85 : x
2. Step 2: Convert to fraction form
   1,384.82/1,910.06 = 824.85/x
3. Step 3: Cross multiply
   1,384.82x = 1,910.06 × 824.85
4. Step 4: Simplify right side
   1,384.82x = 1,575,515.05
5. Step 5: Solve for x
   x = 1,575,515.05/1,384.82
6. Step 6: Final answer
   x = 1,137.71