Finding the Fourth Proportional to 1,384.76, 1,910.10 and 824.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,384.76 : 1,910.10 = 824.83 : x
2. Step 2: Convert to fraction form
   1,384.76/1,910.10 = 824.83/x
3. Step 3: Cross multiply
   1,384.76x = 1,910.10 × 824.83
4. Step 4: Simplify right side
   1,384.76x = 1,575,507.78
5. Step 5: Solve for x
   x = 1,575,507.78/1,384.76
6. Step 6: Final answer
   x = 1,137.75