Finding the Fourth Proportional to 5,109.41, 7,662.89 and 1,411.56

Step by Step Solution

1. Step 1: Write the proportion equation
   5,109.41 : 7,662.89 = 1,411.56 : x
2. Step 2: Convert to fraction form
   5,109.41/7,662.89 = 1,411.56/x
3. Step 3: Cross multiply
   5,109.41x = 7,662.89 × 1,411.56
4. Step 4: Simplify right side
   5,109.41x = 10,816,629.01
5. Step 5: Solve for x
   x = 10,816,629.01/5,109.41
6. Step 6: Final answer
   x = 2,117.00