Finding the Fourth Proportional to 11,976.38, 16,537.86 and 7,507.83

Step by Step Solution

1. Step 1: Write the proportion equation
   11,976.38 : 16,537.86 = 7,507.83 : x
2. Step 2: Convert to fraction form
   11,976.38/16,537.86 = 7,507.83/x
3. Step 3: Cross multiply
   11,976.38x = 16,537.86 × 7,507.83
4. Step 4: Simplify right side
   11,976.38x = 124,163,441.44
5. Step 5: Solve for x
   x = 124,163,441.44/11,976.38
6. Step 6: Final answer
   x = 10,367.36