Finding the Fourth Proportional to 10,582.56, 14,603.96 and 5,866.85

Step by Step Solution

1. Step 1: Write the proportion equation
   10,582.56 : 14,603.96 = 5,866.85 : x
2. Step 2: Convert to fraction form
   10,582.56/14,603.96 = 5,866.85/x
3. Step 3: Cross multiply
   10,582.56x = 14,603.96 × 5,866.85
4. Step 4: Simplify right side
   10,582.56x = 85,679,140.37
5. Step 5: Solve for x
   x = 85,679,140.37/10,582.56
6. Step 6: Final answer
   x = 8,096.26