Finding the Fourth Proportional to 2,002.48, 3,008.64 and 1,892

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.48 : 3,008.64 = 1,892 : x
2. Step 2: Convert to fraction form
   2,002.48/3,008.64 = 1,892/x
3. Step 3: Cross multiply
   2,002.48x = 3,008.64 × 1,892
4. Step 4: Simplify right side
   2,002.48x = 5,692,346.88
5. Step 5: Solve for x
   x = 5,692,346.88/2,002.48
6. Step 6: Final answer
   x = 2,842.65