Finding the Fourth Proportional to 2,262.64, 3,122.72 and 1,378.58

Step by Step Solution

1. Step 1: Write the proportion equation
   2,262.64 : 3,122.72 = 1,378.58 : x
2. Step 2: Convert to fraction form
   2,262.64/3,122.72 = 1,378.58/x
3. Step 3: Cross multiply
   2,262.64x = 3,122.72 × 1,378.58
4. Step 4: Simplify right side
   2,262.64x = 4,304,919.34
5. Step 5: Solve for x
   x = 4,304,919.34/2,262.64
6. Step 6: Final answer
   x = 1,902.61