Finding the Fourth Proportional to 9,538.10, 13,162.92 and 5,558.57

Step by Step Solution

1. Step 1: Write the proportion equation
   9,538.10 : 13,162.92 = 5,558.57 : x
2. Step 2: Convert to fraction form
   9,538.10/13,162.92 = 5,558.57/x
3. Step 3: Cross multiply
   9,538.10x = 13,162.92 × 5,558.57
4. Step 4: Simplify right side
   9,538.10x = 73,167,012.22
5. Step 5: Solve for x
   x = 73,167,012.22/9,538.10
6. Step 6: Final answer
   x = 7,671.03