Finding the Fourth Proportional to 10,290.51, 14,200.77 and 5,814.18

Step by Step Solution

1. Step 1: Write the proportion equation
   10,290.51 : 14,200.77 = 5,814.18 : x
2. Step 2: Convert to fraction form
   10,290.51/14,200.77 = 5,814.18/x
3. Step 3: Cross multiply
   10,290.51x = 14,200.77 × 5,814.18
4. Step 4: Simplify right side
   10,290.51x = 82,565,832.92
5. Step 5: Solve for x
   x = 82,565,832.92/10,290.51
6. Step 6: Final answer
   x = 8,023.49