Finding the Fourth Proportional to 10,455.84, 14,429.12 and 5,740.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,455.84 : 14,429.12 = 5,740.16 : x
2. Step 2: Convert to fraction form
   10,455.84/14,429.12 = 5,740.16/x
3. Step 3: Cross multiply
   10,455.84x = 14,429.12 × 5,740.16
4. Step 4: Simplify right side
   10,455.84x = 82,825,457.46
5. Step 5: Solve for x
   x = 82,825,457.46/10,455.84
6. Step 6: Final answer
   x = 7,921.45