Finding the Fourth Proportional to 10,554.71, 14,564.61 and 5,839.09

Step by Step Solution

1. Step 1: Write the proportion equation
   10,554.71 : 14,564.61 = 5,839.09 : x
2. Step 2: Convert to fraction form
   10,554.71/14,564.61 = 5,839.09/x
3. Step 3: Cross multiply
   10,554.71x = 14,564.61 × 5,839.09
4. Step 4: Simplify right side
   10,554.71x = 85,044,032.19
5. Step 5: Solve for x
   x = 85,044,032.19/10,554.71
6. Step 6: Final answer
   x = 8,057.45