Finding the Fourth Proportional to 13,892.59, 19,172 and 7,843.15

Step by Step Solution

1. Step 1: Write the proportion equation
   13,892.59 : 19,172 = 7,843.15 : x
2. Step 2: Convert to fraction form
   13,892.59/19,172 = 7,843.15/x
3. Step 3: Cross multiply
   13,892.59x = 19,172 × 7,843.15
4. Step 4: Simplify right side
   13,892.59x = 150,368,871.80
5. Step 5: Solve for x
   x = 150,368,871.80/13,892.59
6. Step 6: Final answer
   x = 10,823.67