Finding the Fourth Proportional to 10,938.38, 16,406.15 and 3,542.09

Step by Step Solution

1. Step 1: Write the proportion equation
   10,938.38 : 16,406.15 = 3,542.09 : x
2. Step 2: Convert to fraction form
   10,938.38/16,406.15 = 3,542.09/x
3. Step 3: Cross multiply
   10,938.38x = 16,406.15 × 3,542.09
4. Step 4: Simplify right side
   10,938.38x = 58,111,960.11
5. Step 5: Solve for x
   x = 58,111,960.11/10,938.38
6. Step 6: Final answer
   x = 5,312.67