Finding the Fourth Proportional to 10,138.96, 13,991.52 and 5,662.54

Step by Step Solution

1. Step 1: Write the proportion equation
   10,138.96 : 13,991.52 = 5,662.54 : x
2. Step 2: Convert to fraction form
   10,138.96/13,991.52 = 5,662.54/x
3. Step 3: Cross multiply
   10,138.96x = 13,991.52 × 5,662.54
4. Step 4: Simplify right side
   10,138.96x = 79,227,541.66
5. Step 5: Solve for x
   x = 79,227,541.66/10,138.96
6. Step 6: Final answer
   x = 7,814.17