Finding the Fourth Proportional to 7,678.15, 11,498.76 and 5,205.47

Step by Step Solution

1. Step 1: Write the proportion equation
   7,678.15 : 11,498.76 = 5,205.47 : x
2. Step 2: Convert to fraction form
   7,678.15/11,498.76 = 5,205.47/x
3. Step 3: Cross multiply
   7,678.15x = 11,498.76 × 5,205.47
4. Step 4: Simplify right side
   7,678.15x = 59,856,392.72
5. Step 5: Solve for x
   x = 59,856,392.72/7,678.15
6. Step 6: Final answer
   x = 7,795.68