Finding the Fourth Proportional to 13,781.06, 19,018.67 and 8,114.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,781.06 : 19,018.67 = 8,114.50 : x
2. Step 2: Convert to fraction form
   13,781.06/19,018.67 = 8,114.50/x
3. Step 3: Cross multiply
   13,781.06x = 19,018.67 × 8,114.50
4. Step 4: Simplify right side
   13,781.06x = 154,326,997.72
5. Step 5: Solve for x
   x = 154,326,997.72/13,781.06
6. Step 6: Final answer
   x = 11,198.49