Finding the Fourth Proportional to 10,554.38, 14,563.78 and 5,838.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,554.38 : 14,563.78 = 5,838.02 : x
2. Step 2: Convert to fraction form
   10,554.38/14,563.78 = 5,838.02/x
3. Step 3: Cross multiply
   10,554.38x = 14,563.78 × 5,838.02
4. Step 4: Simplify right side
   10,554.38x = 85,023,551.50
5. Step 5: Solve for x
   x = 85,023,551.50/10,554.38
6. Step 6: Final answer
   x = 8,055.76