Finding the Fourth Proportional to 10,618.08, 14,653.05 and 5,838.27

Step by Step Solution

1. Step 1: Write the proportion equation
   10,618.08 : 14,653.05 = 5,838.27 : x
2. Step 2: Convert to fraction form
   10,618.08/14,653.05 = 5,838.27/x
3. Step 3: Cross multiply
   10,618.08x = 14,653.05 × 5,838.27
4. Step 4: Simplify right side
   10,618.08x = 85,548,462.22
5. Step 5: Solve for x
   x = 85,548,462.22/10,618.08
6. Step 6: Final answer
   x = 8,056.87