Finding the Fourth Proportional to 10,219.05, 14,101.42 and 5,742.45

Step by Step Solution

1. Step 1: Write the proportion equation
   10,219.05 : 14,101.42 = 5,742.45 : x
2. Step 2: Convert to fraction form
   10,219.05/14,101.42 = 5,742.45/x
3. Step 3: Cross multiply
   10,219.05x = 14,101.42 × 5,742.45
4. Step 4: Simplify right side
   10,219.05x = 80,976,684.92
5. Step 5: Solve for x
   x = 80,976,684.92/10,219.05
6. Step 6: Final answer
   x = 7,924.09