Finding the Fourth Proportional to 10,066.50, 13,892.01 and 5,650.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,066.50 : 13,892.01 = 5,650.50 : x
2. Step 2: Convert to fraction form
   10,066.50/13,892.01 = 5,650.50/x
3. Step 3: Cross multiply
   10,066.50x = 13,892.01 × 5,650.50
4. Step 4: Simplify right side
   10,066.50x = 78,496,802.51
5. Step 5: Solve for x
   x = 78,496,802.51/10,066.50
6. Step 6: Final answer
   x = 7,797.82