Finding the Fourth Proportional to 10,456.88, 14,430.42 and 5,741.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,456.88 : 14,430.42 = 5,741.06 : x
2. Step 2: Convert to fraction form
   10,456.88/14,430.42 = 5,741.06/x
3. Step 3: Cross multiply
   10,456.88x = 14,430.42 × 5,741.06
4. Step 4: Simplify right side
   10,456.88x = 82,845,907.05
5. Step 5: Solve for x
   x = 82,845,907.05/10,456.88
6. Step 6: Final answer
   x = 7,922.62