Finding the Fourth Proportional to 10,289.84, 14,199.72 and 5,814.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,289.84 : 14,199.72 = 5,814.06 : x
2. Step 2: Convert to fraction form
   10,289.84/14,199.72 = 5,814.06/x
3. Step 3: Cross multiply
   10,289.84x = 14,199.72 × 5,814.06
4. Step 4: Simplify right side
   10,289.84x = 82,558,024.06
5. Step 5: Solve for x
   x = 82,558,024.06/10,289.84
6. Step 6: Final answer
   x = 8,023.26