Finding the Fourth Proportional to 10,938.08, 16,409.73 and 3,542.55

Step by Step Solution

1. Step 1: Write the proportion equation
   10,938.08 : 16,409.73 = 3,542.55 : x
2. Step 2: Convert to fraction form
   10,938.08/16,409.73 = 3,542.55/x
3. Step 3: Cross multiply
   10,938.08x = 16,409.73 × 3,542.55
4. Step 4: Simplify right side
   10,938.08x = 58,132,289.01
5. Step 5: Solve for x
   x = 58,132,289.01/10,938.08
6. Step 6: Final answer
   x = 5,314.67