Finding the Fourth Proportional to 9,654.84, 13,325.41 and 5,676.16

Step by Step Solution

1. Step 1: Write the proportion equation
   9,654.84 : 13,325.41 = 5,676.16 : x
2. Step 2: Convert to fraction form
   9,654.84/13,325.41 = 5,676.16/x
3. Step 3: Cross multiply
   9,654.84x = 13,325.41 × 5,676.16
4. Step 4: Simplify right side
   9,654.84x = 75,637,092.60
5. Step 5: Solve for x
   x = 75,637,092.60/9,654.84
6. Step 6: Final answer
   x = 7,834.11