Finding the Fourth Proportional to 10,556.29, 14,567.67 and 5,840.57

Step by Step Solution

1. Step 1: Write the proportion equation
   10,556.29 : 14,567.67 = 5,840.57 : x
2. Step 2: Convert to fraction form
   10,556.29/14,567.67 = 5,840.57/x
3. Step 3: Cross multiply
   10,556.29x = 14,567.67 × 5,840.57
4. Step 4: Simplify right side
   10,556.29x = 85,083,496.37
5. Step 5: Solve for x
   x = 85,083,496.37/10,556.29
6. Step 6: Final answer
   x = 8,059.98