Finding the Fourth Proportional to 13,877.30, 20,817.99 and 5,111.55

Step by Step Solution

1. Step 1: Write the proportion equation
   13,877.30 : 20,817.99 = 5,111.55 : x
2. Step 2: Convert to fraction form
   13,877.30/20,817.99 = 5,111.55/x
3. Step 3: Cross multiply
   13,877.30x = 20,817.99 × 5,111.55
4. Step 4: Simplify right side
   13,877.30x = 106,412,196.78
5. Step 5: Solve for x
   x = 106,412,196.78/13,877.30
6. Step 6: Final answer
   x = 7,668.08