Finding the Fourth Proportional to 9,811.98, 13,540.25 and 5,335.63

Step by Step Solution

1. Step 1: Write the proportion equation
   9,811.98 : 13,540.25 = 5,335.63 : x
2. Step 2: Convert to fraction form
   9,811.98/13,540.25 = 5,335.63/x
3. Step 3: Cross multiply
   9,811.98x = 13,540.25 × 5,335.63
4. Step 4: Simplify right side
   9,811.98x = 72,245,743.60
5. Step 5: Solve for x
   x = 72,245,743.60/9,811.98
6. Step 6: Final answer
   x = 7,363.01