Finding the Fourth Proportional to 4,162.56, 5,741.76 and 3,488.64

Step by Step Solution

1. Step 1: Write the proportion equation
   4,162.56 : 5,741.76 = 3,488.64 : x
2. Step 2: Convert to fraction form
   4,162.56/5,741.76 = 3,488.64/x
3. Step 3: Cross multiply
   4,162.56x = 5,741.76 × 3,488.64
4. Step 4: Simplify right side
   4,162.56x = 20,030,933.61
5. Step 5: Solve for x
   x = 20,030,933.61/4,162.56
6. Step 6: Final answer
   x = 4,812.17