Finding the Fourth Proportional to 9,541.62, 13,164.39 and 5,766.21

Step by Step Solution

1. Step 1: Write the proportion equation
   9,541.62 : 13,164.39 = 5,766.21 : x
2. Step 2: Convert to fraction form
   9,541.62/13,164.39 = 5,766.21/x
3. Step 3: Cross multiply
   9,541.62x = 13,164.39 × 5,766.21
4. Step 4: Simplify right side
   9,541.62x = 75,908,637.26
5. Step 5: Solve for x
   x = 75,908,637.26/9,541.62
6. Step 6: Final answer
   x = 7,955.53