Finding the Fourth Proportional to 10,618.14, 14,653.20 and 5,838.28

Step by Step Solution

1. Step 1: Write the proportion equation
   10,618.14 : 14,653.20 = 5,838.28 : x
2. Step 2: Convert to fraction form
   10,618.14/14,653.20 = 5,838.28/x
3. Step 3: Cross multiply
   10,618.14x = 14,653.20 × 5,838.28
4. Step 4: Simplify right side
   10,618.14x = 85,549,484.50
5. Step 5: Solve for x
   x = 85,549,484.50/10,618.14
6. Step 6: Final answer
   x = 8,056.92