Finding the Fourth Proportional to 1,384.59, 1,910.74 and 824.95

Step by Step Solution

1. Step 1: Write the proportion equation
   1,384.59 : 1,910.74 = 824.95 : x
2. Step 2: Convert to fraction form
   1,384.59/1,910.74 = 824.95/x
3. Step 3: Cross multiply
   1,384.59x = 1,910.74 × 824.95
4. Step 4: Simplify right side
   1,384.59x = 1,576,255.41
5. Step 5: Solve for x
   x = 1,576,255.41/1,384.59
6. Step 6: Final answer
   x = 1,138.43