Finding the Fourth Proportional to 13,828.50, 19,083.33 and 7,540.92

Step by Step Solution

1. Step 1: Write the proportion equation
   13,828.50 : 19,083.33 = 7,540.92 : x
2. Step 2: Convert to fraction form
   13,828.50/19,083.33 = 7,540.92/x
3. Step 3: Cross multiply
   13,828.50x = 19,083.33 × 7,540.92
4. Step 4: Simplify right side
   13,828.50x = 143,905,864.86
5. Step 5: Solve for x
   x = 143,905,864.86/13,828.50
6. Step 6: Final answer
   x = 10,406.47