Finding the Fourth Proportional to 10,290.36, 14,199.85 and 5,814.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,290.36 : 14,199.85 = 5,814.50 : x
2. Step 2: Convert to fraction form
   10,290.36/14,199.85 = 5,814.50/x
3. Step 3: Cross multiply
   10,290.36x = 14,199.85 × 5,814.50
4. Step 4: Simplify right side
   10,290.36x = 82,565,027.83
5. Step 5: Solve for x
   x = 82,565,027.83/10,290.36
6. Step 6: Final answer
   x = 8,023.53