Finding the Fourth Proportional to 9,803.60, 13,530.12 and 5,613.20

Step by Step Solution

1. Step 1: Write the proportion equation
   9,803.60 : 13,530.12 = 5,613.20 : x
2. Step 2: Convert to fraction form
   9,803.60/13,530.12 = 5,613.20/x
3. Step 3: Cross multiply
   9,803.60x = 13,530.12 × 5,613.20
4. Step 4: Simplify right side
   9,803.60x = 75,947,269.58
5. Step 5: Solve for x
   x = 75,947,269.58/9,803.60
6. Step 6: Final answer
   x = 7,746.88