Finding the Fourth Proportional to 10,219.36, 14,101.94 and 5,742.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,219.36 : 14,101.94 = 5,742.40 : x
2. Step 2: Convert to fraction form
   10,219.36/14,101.94 = 5,742.40/x
3. Step 3: Cross multiply
   10,219.36x = 14,101.94 × 5,742.40
4. Step 4: Simplify right side
   10,219.36x = 80,978,980.26
5. Step 5: Solve for x
   x = 80,978,980.26/10,219.36
6. Step 6: Final answer
   x = 7,924.08