Finding the Fourth Proportional to 2,782.50, 4,172.76 and 1,222.05

Step by Step Solution

1. Step 1: Write the proportion equation
   2,782.50 : 4,172.76 = 1,222.05 : x
2. Step 2: Convert to fraction form
   2,782.50/4,172.76 = 1,222.05/x
3. Step 3: Cross multiply
   2,782.50x = 4,172.76 × 1,222.05
4. Step 4: Simplify right side
   2,782.50x = 5,099,321.36
5. Step 5: Solve for x
   x = 5,099,321.36/2,782.50
6. Step 6: Final answer
   x = 1,832.64