Finding the Fourth Proportional to 10,559.12, 14,571.24 and 5,842.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,559.12 : 14,571.24 = 5,842.76 : x
2. Step 2: Convert to fraction form
   10,559.12/14,571.24 = 5,842.76/x
3. Step 3: Cross multiply
   10,559.12x = 14,571.24 × 5,842.76
4. Step 4: Simplify right side
   10,559.12x = 85,136,258.22
5. Step 5: Solve for x
   x = 85,136,258.22/10,559.12
6. Step 6: Final answer
   x = 8,062.82