Finding the Fourth Proportional to 2,087.64, 2,882.88 and 1,562.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,087.64 : 2,882.88 = 1,562.76 : x
2. Step 2: Convert to fraction form
   2,087.64/2,882.88 = 1,562.76/x
3. Step 3: Cross multiply
   2,087.64x = 2,882.88 × 1,562.76
4. Step 4: Simplify right side
   2,087.64x = 4,505,249.55
5. Step 5: Solve for x
   x = 4,505,249.55/2,087.64
6. Step 6: Final answer
   x = 2,158.06