Finding the Fourth Proportional to 5,112.69, 7,669.20 and 1,414.61

Step by Step Solution

1. Step 1: Write the proportion equation
   5,112.69 : 7,669.20 = 1,414.61 : x
2. Step 2: Convert to fraction form
   5,112.69/7,669.20 = 1,414.61/x
3. Step 3: Cross multiply
   5,112.69x = 7,669.20 × 1,414.61
4. Step 4: Simplify right side
   5,112.69x = 10,848,897.18
5. Step 5: Solve for x
   x = 10,848,897.18/5,112.69
6. Step 6: Final answer
   x = 2,121.96