Finding the Fourth Proportional to 13,109.91, 19,665.47 and 5,214.03

Step by Step Solution

1. Step 1: Write the proportion equation
   13,109.91 : 19,665.47 = 5,214.03 : x
2. Step 2: Convert to fraction form
   13,109.91/19,665.47 = 5,214.03/x
3. Step 3: Cross multiply
   13,109.91x = 19,665.47 × 5,214.03
4. Step 4: Simplify right side
   13,109.91x = 102,536,350.54
5. Step 5: Solve for x
   x = 102,536,350.54/13,109.91
6. Step 6: Final answer
   x = 7,821.29