Finding the Fourth Proportional to 10,457.42, 14,430.30 and 5,741.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,457.42 : 14,430.30 = 5,741.60 : x
2. Step 2: Convert to fraction form
   10,457.42/14,430.30 = 5,741.60/x
3. Step 3: Cross multiply
   10,457.42x = 14,430.30 × 5,741.60
4. Step 4: Simplify right side
   10,457.42x = 82,853,010.48
5. Step 5: Solve for x
   x = 82,853,010.48/10,457.42
6. Step 6: Final answer
   x = 7,922.89