Finding the Fourth Proportional to 1,920.30, 2,878.38 and 824.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,920.30 : 2,878.38 = 824.10 : x
2. Step 2: Convert to fraction form
   1,920.30/2,878.38 = 824.10/x
3. Step 3: Cross multiply
   1,920.30x = 2,878.38 × 824.10
4. Step 4: Simplify right side
   1,920.30x = 2,372,072.96
5. Step 5: Solve for x
   x = 2,372,072.96/1,920.30
6. Step 6: Final answer
   x = 1,235.26