Finding the Fourth Proportional to 10,453.72, 14,426.19 and 5,738

Step by Step Solution

1. Step 1: Write the proportion equation
   10,453.72 : 14,426.19 = 5,738 : x
2. Step 2: Convert to fraction form
   10,453.72/14,426.19 = 5,738/x
3. Step 3: Cross multiply
   10,453.72x = 14,426.19 × 5,738
4. Step 4: Simplify right side
   10,453.72x = 82,777,449.53
5. Step 5: Solve for x
   x = 82,777,449.53/10,453.72
6. Step 6: Final answer
   x = 7,918.47