Finding the Fourth Proportional to 10,562.48, 14,574.69 and 5,846.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,562.48 : 14,574.69 = 5,846.75 : x
2. Step 2: Convert to fraction form
   10,562.48/14,574.69 = 5,846.75/x
3. Step 3: Cross multiply
   10,562.48x = 14,574.69 × 5,846.75
4. Step 4: Simplify right side
   10,562.48x = 85,214,495.88
5. Step 5: Solve for x
   x = 85,214,495.88/10,562.48
6. Step 6: Final answer
   x = 8,067.66