Finding the Fourth Proportional to 9,806.06, 13,530.84 and 5,613.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,806.06 : 13,530.84 = 5,613.50 : x
2. Step 2: Convert to fraction form
   9,806.06/13,530.84 = 5,613.50/x
3. Step 3: Cross multiply
   9,806.06x = 13,530.84 × 5,613.50
4. Step 4: Simplify right side
   9,806.06x = 75,955,370.34
5. Step 5: Solve for x
   x = 75,955,370.34/9,806.06
6. Step 6: Final answer
   x = 7,745.76