Finding the Fourth Proportional to 10,969.56, 15,137.94 and 10,077

Step by Step Solution

1. Step 1: Write the proportion equation
   10,969.56 : 15,137.94 = 10,077 : x
2. Step 2: Convert to fraction form
   10,969.56/15,137.94 = 10,077/x
3. Step 3: Cross multiply
   10,969.56x = 15,137.94 × 10,077
4. Step 4: Simplify right side
   10,969.56x = 152,545,021.38
5. Step 5: Solve for x
   x = 152,545,021.38/10,969.56
6. Step 6: Final answer
   x = 13,906.21