Finding the Fourth Proportional to 2,588.78, 3,884.82 and 1,884.68

Step by Step Solution

1. Step 1: Write the proportion equation
   2,588.78 : 3,884.82 = 1,884.68 : x
2. Step 2: Convert to fraction form
   2,588.78/3,884.82 = 1,884.68/x
3. Step 3: Cross multiply
   2,588.78x = 3,884.82 × 1,884.68
4. Step 4: Simplify right side
   2,588.78x = 7,321,642.56
5. Step 5: Solve for x
   x = 7,321,642.56/2,588.78
6. Step 6: Final answer
   x = 2,828.22