Finding the Fourth Proportional to 10,107.69, 15,164.59 and 5,180.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,107.69 : 15,164.59 = 5,180.82 : x
2. Step 2: Convert to fraction form
   10,107.69/15,164.59 = 5,180.82/x
3. Step 3: Cross multiply
   10,107.69x = 15,164.59 × 5,180.82
4. Step 4: Simplify right side
   10,107.69x = 78,565,011.16
5. Step 5: Solve for x
   x = 78,565,011.16/10,107.69
6. Step 6: Final answer
   x = 7,772.80