Finding the Fourth Proportional to 2,773.60, 3,826.64 and 1,829.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,773.60 : 3,826.64 = 1,829.86 : x
2. Step 2: Convert to fraction form
   2,773.60/3,826.64 = 1,829.86/x
3. Step 3: Cross multiply
   2,773.60x = 3,826.64 × 1,829.86
4. Step 4: Simplify right side
   2,773.60x = 7,002,215.47
5. Step 5: Solve for x
   x = 7,002,215.47/2,773.60
6. Step 6: Final answer
   x = 2,524.59