Finding the Fourth Proportional to 10,457.61, 14,431.52 and 5,742.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,457.61 : 14,431.52 = 5,742.20 : x
2. Step 2: Convert to fraction form
   10,457.61/14,431.52 = 5,742.20/x
3. Step 3: Cross multiply
   10,457.61x = 14,431.52 × 5,742.20
4. Step 4: Simplify right side
   10,457.61x = 82,868,674.14
5. Step 5: Solve for x
   x = 82,868,674.14/10,457.61
6. Step 6: Final answer
   x = 7,924.25