Finding the Fourth Proportional to 2,564.06, 3,841.86 and 1,082.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.06 : 3,841.86 = 1,082.06 : x
2. Step 2: Convert to fraction form
   2,564.06/3,841.86 = 1,082.06/x
3. Step 3: Cross multiply
   2,564.06x = 3,841.86 × 1,082.06
4. Step 4: Simplify right side
   2,564.06x = 4,157,122.29
5. Step 5: Solve for x
   x = 4,157,122.29/2,564.06
6. Step 6: Final answer
   x = 1,621.31