Finding the Fourth Proportional to 10,457.84, 14,431.88 and 5,742.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,457.84 : 14,431.88 = 5,742.16 : x
2. Step 2: Convert to fraction form
   10,457.84/14,431.88 = 5,742.16/x
3. Step 3: Cross multiply
   10,457.84x = 14,431.88 × 5,742.16
4. Step 4: Simplify right side
   10,457.84x = 82,870,164.06
5. Step 5: Solve for x
   x = 82,870,164.06/10,457.84
6. Step 6: Final answer
   x = 7,924.21