Finding the Fourth Proportional to 10,005.84, 13,808.21 and 5,814.09

Step by Step Solution

1. Step 1: Write the proportion equation
   10,005.84 : 13,808.21 = 5,814.09 : x
2. Step 2: Convert to fraction form
   10,005.84/13,808.21 = 5,814.09/x
3. Step 3: Cross multiply
   10,005.84x = 13,808.21 × 5,814.09
4. Step 4: Simplify right side
   10,005.84x = 80,282,146.61
5. Step 5: Solve for x
   x = 80,282,146.61/10,005.84
6. Step 6: Final answer
   x = 8,023.53