Finding the Fourth Proportional to 10,561.38, 14,575.32 and 5,846.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,561.38 : 14,575.32 = 5,846.10 : x
2. Step 2: Convert to fraction form
   10,561.38/14,575.32 = 5,846.10/x
3. Step 3: Cross multiply
   10,561.38x = 14,575.32 × 5,846.10
4. Step 4: Simplify right side
   10,561.38x = 85,208,778.25
5. Step 5: Solve for x
   x = 85,208,778.25/10,561.38
6. Step 6: Final answer
   x = 8,067.96