Finding the Fourth Proportional to 2,046.52, 2,825.27 and 1,377.84

Step by Step Solution

1. Step 1: Write the proportion equation
   2,046.52 : 2,825.27 = 1,377.84 : x
2. Step 2: Convert to fraction form
   2,046.52/2,825.27 = 1,377.84/x
3. Step 3: Cross multiply
   2,046.52x = 2,825.27 × 1,377.84
4. Step 4: Simplify right side
   2,046.52x = 3,892,763.13
5. Step 5: Solve for x
   x = 3,892,763.13/2,046.52
6. Step 6: Final answer
   x = 1,902.14