Finding the Fourth Proportional to 13,897.14, 19,194.89 and 10,114.31

Step by Step Solution

1. Step 1: Write the proportion equation
   13,897.14 : 19,194.89 = 10,114.31 : x
2. Step 2: Convert to fraction form
   13,897.14/19,194.89 = 10,114.31/x
3. Step 3: Cross multiply
   13,897.14x = 19,194.89 × 10,114.31
4. Step 4: Simplify right side
   13,897.14x = 194,142,921.33
5. Step 5: Solve for x
   x = 194,142,921.33/13,897.14
6. Step 6: Final answer
   x = 13,969.99