Finding the Fourth Proportional to 10,562.28, 14,575.77 and 5,846.46

Step by Step Solution

1. Step 1: Write the proportion equation
   10,562.28 : 14,575.77 = 5,846.46 : x
2. Step 2: Convert to fraction form
   10,562.28/14,575.77 = 5,846.46/x
3. Step 3: Cross multiply
   10,562.28x = 14,575.77 × 5,846.46
4. Step 4: Simplify right side
   10,562.28x = 85,216,656.27
5. Step 5: Solve for x
   x = 85,216,656.27/10,562.28
6. Step 6: Final answer
   x = 8,068.02