Finding the Fourth Proportional to 13,513.38, 20,265.18 and 5,189.10

Step by Step Solution

1. Step 1: Write the proportion equation
   13,513.38 : 20,265.18 = 5,189.10 : x
2. Step 2: Convert to fraction form
   13,513.38/20,265.18 = 5,189.10/x
3. Step 3: Cross multiply
   13,513.38x = 20,265.18 × 5,189.10
4. Step 4: Simplify right side
   13,513.38x = 105,158,045.54
5. Step 5: Solve for x
   x = 105,158,045.54/13,513.38
6. Step 6: Final answer
   x = 7,781.77