Finding the Fourth Proportional to 9,682.64, 13,362.05 and 5,490.89

Step by Step Solution

1. Step 1: Write the proportion equation
   9,682.64 : 13,362.05 = 5,490.89 : x
2. Step 2: Convert to fraction form
   9,682.64/13,362.05 = 5,490.89/x
3. Step 3: Cross multiply
   9,682.64x = 13,362.05 × 5,490.89
4. Step 4: Simplify right side
   9,682.64x = 73,369,546.72
5. Step 5: Solve for x
   x = 73,369,546.72/9,682.64
6. Step 6: Final answer
   x = 7,577.43