Finding the Fourth Proportional to 4,200.00, 5,796.24 and 2,407.78

Step by Step Solution

1. Step 1: Write the proportion equation
   4,200.00 : 5,796.24 = 2,407.78 : x
2. Step 2: Convert to fraction form
   4,200.00/5,796.24 = 2,407.78/x
3. Step 3: Cross multiply
   4,200.00x = 5,796.24 × 2,407.78
4. Step 4: Simplify right side
   4,200.00x = 13,956,029.73
5. Step 5: Solve for x
   x = 13,956,029.73/4,200.00
6. Step 6: Final answer
   x = 3,322.87