Finding the Fourth Proportional to 2,562.22, 3,840.59 and 1,829.58

Step by Step Solution

1. Step 1: Write the proportion equation
   2,562.22 : 3,840.59 = 1,829.58 : x
2. Step 2: Convert to fraction form
   2,562.22/3,840.59 = 1,829.58/x
3. Step 3: Cross multiply
   2,562.22x = 3,840.59 × 1,829.58
4. Step 4: Simplify right side
   2,562.22x = 7,026,656.82
5. Step 5: Solve for x
   x = 7,026,656.82/2,562.22
6. Step 6: Final answer
   x = 2,742.41