Finding the Fourth Proportional to 9,645.74, 13,310.90 and 5,396.86

Step by Step Solution

1. Step 1: Write the proportion equation
   9,645.74 : 13,310.90 = 5,396.86 : x
2. Step 2: Convert to fraction form
   9,645.74/13,310.90 = 5,396.86/x
3. Step 3: Cross multiply
   9,645.74x = 13,310.90 × 5,396.86
4. Step 4: Simplify right side
   9,645.74x = 71,837,063.77
5. Step 5: Solve for x
   x = 71,837,063.77/9,645.74
6. Step 6: Final answer
   x = 7,447.54