Finding the Fourth Proportional to 11,077.37, 15,268.86 and 9,638.06

Step by Step Solution

1. Step 1: Write the proportion equation
   11,077.37 : 15,268.86 = 9,638.06 : x
2. Step 2: Convert to fraction form
   11,077.37/15,268.86 = 9,638.06/x
3. Step 3: Cross multiply
   11,077.37x = 15,268.86 × 9,638.06
4. Step 4: Simplify right side
   11,077.37x = 147,162,112.47
5. Step 5: Solve for x
   x = 147,162,112.47/11,077.37
6. Step 6: Final answer
   x = 13,284.93