Finding the Fourth Proportional to 2,782.84, 4,172.42 and 1,137.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,782.84 : 4,172.42 = 1,137.72 : x
2. Step 2: Convert to fraction form
   2,782.84/4,172.42 = 1,137.72/x
3. Step 3: Cross multiply
   2,782.84x = 4,172.42 × 1,137.72
4. Step 4: Simplify right side
   2,782.84x = 4,747,045.68
5. Step 5: Solve for x
   x = 4,747,045.68/2,782.84
6. Step 6: Final answer
   x = 1,705.83