Finding the Fourth Proportional to 13,827, 19,081.71 and 7,539.78

Step by Step Solution

1. Step 1: Write the proportion equation
   13,827 : 19,081.71 = 7,539.78 : x
2. Step 2: Convert to fraction form
   13,827/19,081.71 = 7,539.78/x
3. Step 3: Cross multiply
   13,827x = 19,081.71 × 7,539.78
4. Step 4: Simplify right side
   13,827x = 143,871,895.42
5. Step 5: Solve for x
   x = 143,871,895.42/13,827
6. Step 6: Final answer
   x = 10,405.14