Finding the Fourth Proportional to 10,017.91, 13,824.96 and 5,541.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,017.91 : 13,824.96 = 5,541.75 : x
2. Step 2: Convert to fraction form
   10,017.91/13,824.96 = 5,541.75/x
3. Step 3: Cross multiply
   10,017.91x = 13,824.96 × 5,541.75
4. Step 4: Simplify right side
   10,017.91x = 76,614,472.08
5. Step 5: Solve for x
   x = 76,614,472.08/10,017.91
6. Step 6: Final answer
   x = 7,647.75