Finding the Fourth Proportional to 10,138.48, 13,991.34 and 5,662.08

Step by Step Solution

1. Step 1: Write the proportion equation
   10,138.48 : 13,991.34 = 5,662.08 : x
2. Step 2: Convert to fraction form
   10,138.48/13,991.34 = 5,662.08/x
3. Step 3: Cross multiply
   10,138.48x = 13,991.34 × 5,662.08
4. Step 4: Simplify right side
   10,138.48x = 79,220,086.39
5. Step 5: Solve for x
   x = 79,220,086.39/10,138.48
6. Step 6: Final answer
   x = 7,813.80