Finding the Fourth Proportional to 9,546.86, 13,174.42 and 5,297.91

Step by Step Solution

1. Step 1: Write the proportion equation
   9,546.86 : 13,174.42 = 5,297.91 : x
2. Step 2: Convert to fraction form
   9,546.86/13,174.42 = 5,297.91/x
3. Step 3: Cross multiply
   9,546.86x = 13,174.42 × 5,297.91
4. Step 4: Simplify right side
   9,546.86x = 69,796,825.59
5. Step 5: Solve for x
   x = 69,796,825.59/9,546.86
6. Step 6: Final answer
   x = 7,310.97