Finding the Fourth Proportional to 10,553.98, 14,564.50 and 5,838.26

Step by Step Solution

1. Step 1: Write the proportion equation
   10,553.98 : 14,564.50 = 5,838.26 : x
2. Step 2: Convert to fraction form
   10,553.98/14,564.50 = 5,838.26/x
3. Step 3: Cross multiply
   10,553.98x = 14,564.50 × 5,838.26
4. Step 4: Simplify right side
   10,553.98x = 85,031,337.77
5. Step 5: Solve for x
   x = 85,031,337.77/10,553.98
6. Step 6: Final answer
   x = 8,056.80