Finding the Fourth Proportional to 9,726.38, 13,424.82 and 5,537.06

Step by Step Solution

1. Step 1: Write the proportion equation
   9,726.38 : 13,424.82 = 5,537.06 : x
2. Step 2: Convert to fraction form
   9,726.38/13,424.82 = 5,537.06/x
3. Step 3: Cross multiply
   9,726.38x = 13,424.82 × 5,537.06
4. Step 4: Simplify right side
   9,726.38x = 74,334,033.83
5. Step 5: Solve for x
   x = 74,334,033.83/9,726.38
6. Step 6: Final answer
   x = 7,642.52