Finding the Fourth Proportional to 10,562.42, 14,575.56 and 5,846.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,562.42 : 14,575.56 = 5,846.42 : x
2. Step 2: Convert to fraction form
   10,562.42/14,575.56 = 5,846.42/x
3. Step 3: Cross multiply
   10,562.42x = 14,575.56 × 5,846.42
4. Step 4: Simplify right side
   10,562.42x = 85,214,845.50
5. Step 5: Solve for x
   x = 85,214,845.50/10,562.42
6. Step 6: Final answer
   x = 8,067.74