Finding the Fourth Proportional to 9,189.97, 12,682.25 and 5,463.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,189.97 : 12,682.25 = 5,463.25 : x
2. Step 2: Convert to fraction form
   9,189.97/12,682.25 = 5,463.25/x
3. Step 3: Cross multiply
   9,189.97x = 12,682.25 × 5,463.25
4. Step 4: Simplify right side
   9,189.97x = 69,286,302.31
5. Step 5: Solve for x
   x = 69,286,302.31/9,189.97
6. Step 6: Final answer
   x = 7,539.34