Finding the Fourth Proportional to 10,219.02, 14,100.21 and 5,742.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,219.02 : 14,100.21 = 5,742.96 : x
2. Step 2: Convert to fraction form
   10,219.02/14,100.21 = 5,742.96/x
3. Step 3: Cross multiply
   10,219.02x = 14,100.21 × 5,742.96
4. Step 4: Simplify right side
   10,219.02x = 80,976,942.02
5. Step 5: Solve for x
   x = 80,976,942.02/10,219.02
6. Step 6: Final answer
   x = 7,924.14