Finding the Fourth Proportional to 10,290.96, 14,203.59 and 5,814.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,290.96 : 14,203.59 = 5,814.78 : x
2. Step 2: Convert to fraction form
   10,290.96/14,203.59 = 5,814.78/x
3. Step 3: Cross multiply
   10,290.96x = 14,203.59 × 5,814.78
4. Step 4: Simplify right side
   10,290.96x = 82,590,751.06
5. Step 5: Solve for x
   x = 82,590,751.06/10,290.96
6. Step 6: Final answer
   x = 8,025.56