Finding the Fourth Proportional to 2,588.40, 3,877.56 and 1,290.96

Step by Step Solution

1. Step 1: Write the proportion equation
   2,588.40 : 3,877.56 = 1,290.96 : x
2. Step 2: Convert to fraction form
   2,588.40/3,877.56 = 1,290.96/x
3. Step 3: Cross multiply
   2,588.40x = 3,877.56 × 1,290.96
4. Step 4: Simplify right side
   2,588.40x = 5,005,774.86
5. Step 5: Solve for x
   x = 5,005,774.86/2,588.40
6. Step 6: Final answer
   x = 1,933.93