Finding the Fourth Proportional to 9,646.20, 13,311.18 and 5,667.12

Step by Step Solution

1. Step 1: Write the proportion equation
   9,646.20 : 13,311.18 = 5,667.12 : x
2. Step 2: Convert to fraction form
   9,646.20/13,311.18 = 5,667.12/x
3. Step 3: Cross multiply
   9,646.20x = 13,311.18 × 5,667.12
4. Step 4: Simplify right side
   9,646.20x = 75,436,054.40
5. Step 5: Solve for x
   x = 75,436,054.40/9,646.20
6. Step 6: Final answer
   x = 7,820.29