Finding the Fourth Proportional to 5,109.46, 7,664.33 and 1,411.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,109.46 : 7,664.33 = 1,411.69 : x
2. Step 2: Convert to fraction form
   5,109.46/7,664.33 = 1,411.69/x
3. Step 3: Cross multiply
   5,109.46x = 7,664.33 × 1,411.69
4. Step 4: Simplify right side
   5,109.46x = 10,819,619.70
5. Step 5: Solve for x
   x = 10,819,619.70/5,109.46
6. Step 6: Final answer
   x = 2,117.57