Finding the Fourth Proportional to 10,553.34, 14,563.62 and 5,838.33

Step by Step Solution

1. Step 1: Write the proportion equation
   10,553.34 : 14,563.62 = 5,838.33 : x
2. Step 2: Convert to fraction form
   10,553.34/14,563.62 = 5,838.33/x
3. Step 3: Cross multiply
   10,553.34x = 14,563.62 × 5,838.33
4. Step 4: Simplify right side
   10,553.34x = 85,027,274.17
5. Step 5: Solve for x
   x = 85,027,274.17/10,553.34
6. Step 6: Final answer
   x = 8,056.90