Finding the Fourth Proportional to 13,827.86, 19,082.39 and 7,540.23

Step by Step Solution

1. Step 1: Write the proportion equation
   13,827.86 : 19,082.39 = 7,540.23 : x
2. Step 2: Convert to fraction form
   13,827.86/19,082.39 = 7,540.23/x
3. Step 3: Cross multiply
   13,827.86x = 19,082.39 × 7,540.23
4. Step 4: Simplify right side
   13,827.86x = 143,885,571.85
5. Step 5: Solve for x
   x = 143,885,571.85/13,827.86
6. Step 6: Final answer
   x = 10,405.49