Finding the Fourth Proportional to 7,005.75, 9,667.94 and 4,211.25

Step by Step Solution

1. Step 1: Write the proportion equation
   7,005.75 : 9,667.94 = 4,211.25 : x
2. Step 2: Convert to fraction form
   7,005.75/9,667.94 = 4,211.25/x
3. Step 3: Cross multiply
   7,005.75x = 9,667.94 × 4,211.25
4. Step 4: Simplify right side
   7,005.75x = 40,714,091.27
5. Step 5: Solve for x
   x = 40,714,091.27/7,005.75
6. Step 6: Final answer
   x = 5,811.53