Finding the Fourth Proportional to 9,654.56, 13,318.92 and 5,675.84

Step by Step Solution

1. Step 1: Write the proportion equation
   9,654.56 : 13,318.92 = 5,675.84 : x
2. Step 2: Convert to fraction form
   9,654.56/13,318.92 = 5,675.84/x
3. Step 3: Cross multiply
   9,654.56x = 13,318.92 × 5,675.84
4. Step 4: Simplify right side
   9,654.56x = 75,596,058.89
5. Step 5: Solve for x
   x = 75,596,058.89/9,654.56
6. Step 6: Final answer
   x = 7,830.09