Finding the Fourth Proportional to 9,538.56, 13,160.40 and 5,558.88

Step by Step Solution

1. Step 1: Write the proportion equation
   9,538.56 : 13,160.40 = 5,558.88 : x
2. Step 2: Convert to fraction form
   9,538.56/13,160.40 = 5,558.88/x
3. Step 3: Cross multiply
   9,538.56x = 13,160.40 × 5,558.88
4. Step 4: Simplify right side
   9,538.56x = 73,157,084.35
5. Step 5: Solve for x
   x = 73,157,084.35/9,538.56
6. Step 6: Final answer
   x = 7,669.62