Finding the Fourth Proportional to 5,109.56, 7,664.51 and 1,411.78

Step by Step Solution

1. Step 1: Write the proportion equation
   5,109.56 : 7,664.51 = 1,411.78 : x
2. Step 2: Convert to fraction form
   5,109.56/7,664.51 = 1,411.78/x
3. Step 3: Cross multiply
   5,109.56x = 7,664.51 × 1,411.78
4. Step 4: Simplify right side
   5,109.56x = 10,820,586.30
5. Step 5: Solve for x
   x = 10,820,586.30/5,109.56
6. Step 6: Final answer
   x = 2,117.71