Finding the Fourth Proportional to 9,116.34, 12,581.01 and 5,578.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,116.34 : 12,581.01 = 5,578.50 : x
2. Step 2: Convert to fraction form
   9,116.34/12,581.01 = 5,578.50/x
3. Step 3: Cross multiply
   9,116.34x = 12,581.01 × 5,578.50
4. Step 4: Simplify right side
   9,116.34x = 70,183,164.29
5. Step 5: Solve for x
   x = 70,183,164.29/9,116.34
6. Step 6: Final answer
   x = 7,698.61