Finding the Fourth Proportional to 10,027.76, 13,838.48 and 5,490.37

Step by Step Solution

1. Step 1: Write the proportion equation
   10,027.76 : 13,838.48 = 5,490.37 : x
2. Step 2: Convert to fraction form
   10,027.76/13,838.48 = 5,490.37/x
3. Step 3: Cross multiply
   10,027.76x = 13,838.48 × 5,490.37
4. Step 4: Simplify right side
   10,027.76x = 75,978,313.39
5. Step 5: Solve for x
   x = 75,978,313.39/10,027.76
6. Step 6: Final answer
   x = 7,576.80