Finding the Fourth Proportional to 1,538.16, 2,122.62 and 1,414.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,538.16 : 2,122.62 = 1,414.32 : x
2. Step 2: Convert to fraction form
   1,538.16/2,122.62 = 1,414.32/x
3. Step 3: Cross multiply
   1,538.16x = 2,122.62 × 1,414.32
4. Step 4: Simplify right side
   1,538.16x = 3,002,063.92
5. Step 5: Solve for x
   x = 3,002,063.92/1,538.16
6. Step 6: Final answer
   x = 1,951.72