Finding the Fourth Proportional to 10,561.52, 14,575.20 and 5,846.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,561.52 : 14,575.20 = 5,846.24 : x
2. Step 2: Convert to fraction form
   10,561.52/14,575.20 = 5,846.24/x
3. Step 3: Cross multiply
   10,561.52x = 14,575.20 × 5,846.24
4. Step 4: Simplify right side
   10,561.52x = 85,210,117.25
5. Step 5: Solve for x
   x = 85,210,117.25/10,561.52
6. Step 6: Final answer
   x = 8,067.98