Finding the Fourth Proportional to 9,813.42, 13,538.53 and 5,563.58

Step by Step Solution

1. Step 1: Write the proportion equation
   9,813.42 : 13,538.53 = 5,563.58 : x
2. Step 2: Convert to fraction form
   9,813.42/13,538.53 = 5,563.58/x
3. Step 3: Cross multiply
   9,813.42x = 13,538.53 × 5,563.58
4. Step 4: Simplify right side
   9,813.42x = 75,322,666.92
5. Step 5: Solve for x
   x = 75,322,666.92/9,813.42
6. Step 6: Final answer
   x = 7,675.48