Finding the Fourth Proportional to 10,290.58, 14,201.27 and 5,814.23

Step by Step Solution

1. Step 1: Write the proportion equation
   10,290.58 : 14,201.27 = 5,814.23 : x
2. Step 2: Convert to fraction form
   10,290.58/14,201.27 = 5,814.23/x
3. Step 3: Cross multiply
   10,290.58x = 14,201.27 × 5,814.23
4. Step 4: Simplify right side
   10,290.58x = 82,569,484.39
5. Step 5: Solve for x
   x = 82,569,484.39/10,290.58
6. Step 6: Final answer
   x = 8,023.80