Finding the Fourth Proportional to 9,189.65, 12,686.42 and 5,654.91

Step by Step Solution

1. Step 1: Write the proportion equation
   9,189.65 : 12,686.42 = 5,654.91 : x
2. Step 2: Convert to fraction form
   9,189.65/12,686.42 = 5,654.91/x
3. Step 3: Cross multiply
   9,189.65x = 12,686.42 × 5,654.91
4. Step 4: Simplify right side
   9,189.65x = 71,740,625.03
5. Step 5: Solve for x
   x = 71,740,625.03/9,189.65
6. Step 6: Final answer
   x = 7,806.67