Finding the Fourth Proportional to 9,558.18, 13,189.10 and 5,578.74

Step by Step Solution

1. Step 1: Write the proportion equation
   9,558.18 : 13,189.10 = 5,578.74 : x
2. Step 2: Convert to fraction form
   9,558.18/13,189.10 = 5,578.74/x
3. Step 3: Cross multiply
   9,558.18x = 13,189.10 × 5,578.74
4. Step 4: Simplify right side
   9,558.18x = 73,578,531.84
5. Step 5: Solve for x
   x = 73,578,531.84/9,558.18
6. Step 6: Final answer
   x = 7,697.96