Finding the Fourth Proportional to 10,553.86, 14,564.23 and 5,838.04

Step by Step Solution

1. Step 1: Write the proportion equation
   10,553.86 : 14,564.23 = 5,838.04 : x
2. Step 2: Convert to fraction form
   10,553.86/14,564.23 = 5,838.04/x
3. Step 3: Cross multiply
   10,553.86x = 14,564.23 × 5,838.04
4. Step 4: Simplify right side
   10,553.86x = 85,026,557.31
5. Step 5: Solve for x
   x = 85,026,557.31/10,553.86
6. Step 6: Final answer
   x = 8,056.44