Finding the Fourth Proportional to 19,665, 29,502.50 and 5,814

Step by Step Solution

1. Step 1: Write the proportion equation
   19,665 : 29,502.50 = 5,814 : x
2. Step 2: Convert to fraction form
   19,665/29,502.50 = 5,814/x
3. Step 3: Cross multiply
   19,665x = 29,502.50 × 5,814
4. Step 4: Simplify right side
   19,665x = 171,527,505.93
5. Step 5: Solve for x
   x = 171,527,505.93/19,665
6. Step 6: Final answer
   x = 8,722.48