Finding the Fourth Proportional to 10,367.56, 15,537.42 and 5,680.52

Step by Step Solution

1. Step 1: Write the proportion equation
   10,367.56 : 15,537.42 = 5,680.52 : x
2. Step 2: Convert to fraction form
   10,367.56/15,537.42 = 5,680.52/x
3. Step 3: Cross multiply
   10,367.56x = 15,537.42 × 5,680.52
4. Step 4: Simplify right side
   10,367.56x = 88,260,625.06
5. Step 5: Solve for x
   x = 88,260,625.06/10,367.56
6. Step 6: Final answer
   x = 8,513.15