Finding the Fourth Proportional to 13,842.32, 20,766.22 and 5,077.31

Step by Step Solution

1. Step 1: Write the proportion equation
   13,842.32 : 20,766.22 = 5,077.31 : x
2. Step 2: Convert to fraction form
   13,842.32/20,766.22 = 5,077.31/x
3. Step 3: Cross multiply
   13,842.32x = 20,766.22 × 5,077.31
4. Step 4: Simplify right side
   13,842.32x = 105,436,536.47
5. Step 5: Solve for x
   x = 105,436,536.47/13,842.32
6. Step 6: Final answer
   x = 7,616.97