Finding the Fourth Proportional to 11,853.72, 17,778.42 and 5,278.68

Step by Step Solution

1. Step 1: Write the proportion equation
   11,853.72 : 17,778.42 = 5,278.68 : x
2. Step 2: Convert to fraction form
   11,853.72/17,778.42 = 5,278.68/x
3. Step 3: Cross multiply
   11,853.72x = 17,778.42 × 5,278.68
4. Step 4: Simplify right side
   11,853.72x = 93,846,590.09
5. Step 5: Solve for x
   x = 93,846,590.09/11,853.72
6. Step 6: Final answer
   x = 7,917.06