Finding the Fourth Proportional to 2,298.78, 3,441.69 and 2,005.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,298.78 : 3,441.69 = 2,005.02 : x
2. Step 2: Convert to fraction form
   2,298.78/3,441.69 = 2,005.02/x
3. Step 3: Cross multiply
   2,298.78x = 3,441.69 × 2,005.02
4. Step 4: Simplify right side
   2,298.78x = 6,900,657.28
5. Step 5: Solve for x
   x = 6,900,657.28/2,298.78
6. Step 6: Final answer
   x = 3,001.88