Finding the Fourth Proportional to 2,588.75, 3,884.71 and 1,029.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,588.75 : 3,884.71 = 1,029.50 : x
2. Step 2: Convert to fraction form
   2,588.75/3,884.71 = 1,029.50/x
3. Step 3: Cross multiply
   2,588.75x = 3,884.71 × 1,029.50
4. Step 4: Simplify right side
   2,588.75x = 3,999,308.95
5. Step 5: Solve for x
   x = 3,999,308.95/2,588.75
6. Step 6: Final answer
   x = 1,544.88