Finding the Fourth Proportional to 7,002.56, 9,667.68 and 4,646.72

Step by Step Solution

1. Step 1: Write the proportion equation
   7,002.56 : 9,667.68 = 4,646.72 : x
2. Step 2: Convert to fraction form
   7,002.56/9,667.68 = 4,646.72/x
3. Step 3: Cross multiply
   7,002.56x = 9,667.68 × 4,646.72
4. Step 4: Simplify right side
   7,002.56x = 44,923,002.01
5. Step 5: Solve for x
   x = 44,923,002.01/7,002.56
6. Step 6: Final answer
   x = 6,415.23