Finding the Fourth Proportional to 9,841.88, 13,581.80 and 5,365.64

Step by Step Solution

1. Step 1: Write the proportion equation
   9,841.88 : 13,581.80 = 5,365.64 : x
2. Step 2: Convert to fraction form
   9,841.88/13,581.80 = 5,365.64/x
3. Step 3: Cross multiply
   9,841.88x = 13,581.80 × 5,365.64
4. Step 4: Simplify right side
   9,841.88x = 72,875,049.35
5. Step 5: Solve for x
   x = 72,875,049.35/9,841.88
6. Step 6: Final answer
   x = 7,404.59