Finding the Fourth Proportional to 13,780.68, 19,016.42 and 8,116.35

Step by Step Solution

1. Step 1: Write the proportion equation
   13,780.68 : 19,016.42 = 8,116.35 : x
2. Step 2: Convert to fraction form
   13,780.68/19,016.42 = 8,116.35/x
3. Step 3: Cross multiply
   13,780.68x = 19,016.42 × 8,116.35
4. Step 4: Simplify right side
   13,780.68x = 154,343,879.89
5. Step 5: Solve for x
   x = 154,343,879.89/13,780.68
6. Step 6: Final answer
   x = 11,200.02