Finding the Fourth Proportional to 1,782.56, 2,461.94 and 1,758.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,782.56 : 2,461.94 = 1,758.28 : x
2. Step 2: Convert to fraction form
   1,782.56/2,461.94 = 1,758.28/x
3. Step 3: Cross multiply
   1,782.56x = 2,461.94 × 1,758.28
4. Step 4: Simplify right side
   1,782.56x = 4,328,779.86
5. Step 5: Solve for x
   x = 4,328,779.86/1,782.56
6. Step 6: Final answer
   x = 2,428.41