Finding the Fourth Proportional to 1,384.74, 1,910.52 and 824.93

Step by Step Solution

1. Step 1: Write the proportion equation
   1,384.74 : 1,910.52 = 824.93 : x
2. Step 2: Convert to fraction form
   1,384.74/1,910.52 = 824.93/x
3. Step 3: Cross multiply
   1,384.74x = 1,910.52 × 824.93
4. Step 4: Simplify right side
   1,384.74x = 1,576,045.26
5. Step 5: Solve for x
   x = 1,576,045.26/1,384.74
6. Step 6: Final answer
   x = 1,138.15