Finding the Fourth Proportional to 10,142.42, 15,222.26 and 5,976.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,142.42 : 15,222.26 = 5,976.32 : x
2. Step 2: Convert to fraction form
   10,142.42/15,222.26 = 5,976.32/x
3. Step 3: Cross multiply
   10,142.42x = 15,222.26 × 5,976.32
4. Step 4: Simplify right side
   10,142.42x = 90,973,035.71
5. Step 5: Solve for x
   x = 90,973,035.71/10,142.42
6. Step 6: Final answer
   x = 8,969.56