Finding the Fourth Proportional to 10,556.38, 14,567.74 and 5,840.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,556.38 : 14,567.74 = 5,840.56 : x
2. Step 2: Convert to fraction form
   10,556.38/14,567.74 = 5,840.56/x
3. Step 3: Cross multiply
   10,556.38x = 14,567.74 × 5,840.56
4. Step 4: Simplify right side
   10,556.38x = 85,083,759.53
5. Step 5: Solve for x
   x = 85,083,759.53/10,556.38
6. Step 6: Final answer
   x = 8,059.94