Finding the Fourth Proportional to 5,109.50, 7,664.69 and 1,411.73

Step by Step Solution

1. Step 1: Write the proportion equation
   5,109.50 : 7,664.69 = 1,411.73 : x
2. Step 2: Convert to fraction form
   5,109.50/7,664.69 = 1,411.73/x
3. Step 3: Cross multiply
   5,109.50x = 7,664.69 × 1,411.73
4. Step 4: Simplify right side
   5,109.50x = 10,820,495.50
5. Step 5: Solve for x
   x = 10,820,495.50/5,109.50
6. Step 6: Final answer
   x = 2,117.72