Finding the Fourth Proportional to 1,384.88, 1,910.27 and 824.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,384.88 : 1,910.27 = 824.96 : x
2. Step 2: Convert to fraction form
   1,384.88/1,910.27 = 824.96/x
3. Step 3: Cross multiply
   1,384.88x = 1,910.27 × 824.96
4. Step 4: Simplify right side
   1,384.88x = 1,575,892.21
5. Step 5: Solve for x
   x = 1,575,892.21/1,384.88
6. Step 6: Final answer
   x = 1,137.93