Finding the Fourth Proportional to 2,005.88, 2,996.64 and 1,677.83

Step by Step Solution

1. Step 1: Write the proportion equation
   2,005.88 : 2,996.64 = 1,677.83 : x
2. Step 2: Convert to fraction form
   2,005.88/2,996.64 = 1,677.83/x
3. Step 3: Cross multiply
   2,005.88x = 2,996.64 × 1,677.83
4. Step 4: Simplify right side
   2,005.88x = 5,027,837.51
5. Step 5: Solve for x
   x = 5,027,837.51/2,005.88
6. Step 6: Final answer
   x = 2,506.56