Finding the Fourth Proportional to 9,667.84, 14,505.87 and 5,772.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,667.84 : 14,505.87 = 5,772.25 : x
2. Step 2: Convert to fraction form
   9,667.84/14,505.87 = 5,772.25/x
3. Step 3: Cross multiply
   9,667.84x = 14,505.87 × 5,772.25
4. Step 4: Simplify right side
   9,667.84x = 83,731,508.11
5. Step 5: Solve for x
   x = 83,731,508.11/9,667.84
6. Step 6: Final answer
   x = 8,660.83