Finding the Fourth Proportional to 1,384.71, 1,910.57 and 824.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,384.71 : 1,910.57 = 824.82 : x
2. Step 2: Convert to fraction form
   1,384.71/1,910.57 = 824.82/x
3. Step 3: Cross multiply
   1,384.71x = 1,910.57 × 824.82
4. Step 4: Simplify right side
   1,384.71x = 1,575,872.22
5. Step 5: Solve for x
   x = 1,575,872.22/1,384.71
6. Step 6: Final answer
   x = 1,138.05