Finding the Fourth Proportional to 2,562.83, 3,843.48 and 1,101.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,562.83 : 3,843.48 = 1,101.64 : x
2. Step 2: Convert to fraction form
   2,562.83/3,843.48 = 1,101.64/x
3. Step 3: Cross multiply
   2,562.83x = 3,843.48 × 1,101.64
4. Step 4: Simplify right side
   2,562.83x = 4,234,131.31
5. Step 5: Solve for x
   x = 4,234,131.31/2,562.83
6. Step 6: Final answer
   x = 1,652.13