Finding the Fourth Proportional to 7,385.92, 11,083.50 and 3,828.40

Step by Step Solution

1. Step 1: Write the proportion equation
   7,385.92 : 11,083.50 = 3,828.40 : x
2. Step 2: Convert to fraction form
   7,385.92/11,083.50 = 3,828.40/x
3. Step 3: Cross multiply
   7,385.92x = 11,083.50 × 3,828.40
4. Step 4: Simplify right side
   7,385.92x = 42,432,043.69
5. Step 5: Solve for x
   x = 42,432,043.69/7,385.92
6. Step 6: Final answer
   x = 5,744.99