Finding the Fourth Proportional to 10,553.82, 14,564.27 and 5,838.41

Step by Step Solution

1. Step 1: Write the proportion equation
   10,553.82 : 14,564.27 = 5,838.41 : x
2. Step 2: Convert to fraction form
   10,553.82/14,564.27 = 5,838.41/x
3. Step 3: Cross multiply
   10,553.82x = 14,564.27 × 5,838.41
4. Step 4: Simplify right side
   10,553.82x = 85,032,077.60
5. Step 5: Solve for x
   x = 85,032,077.60/10,553.82
6. Step 6: Final answer
   x = 8,057.00