Finding the Fourth Proportional to 10,935.75, 16,400.16 and 3,538.41

Step by Step Solution

1. Step 1: Write the proportion equation
   10,935.75 : 16,400.16 = 3,538.41 : x
2. Step 2: Convert to fraction form
   10,935.75/16,400.16 = 3,538.41/x
3. Step 3: Cross multiply
   10,935.75x = 16,400.16 × 3,538.41
4. Step 4: Simplify right side
   10,935.75x = 58,030,490.15
5. Step 5: Solve for x
   x = 58,030,490.15/10,935.75
6. Step 6: Final answer
   x = 5,306.49