Finding the Fourth Proportional to 2,705.40, 3,731.82 and 2,007.48

Step by Step Solution

1. Step 1: Write the proportion equation
   2,705.40 : 3,731.82 = 2,007.48 : x
2. Step 2: Convert to fraction form
   2,705.40/3,731.82 = 2,007.48/x
3. Step 3: Cross multiply
   2,705.40x = 3,731.82 × 2,007.48
4. Step 4: Simplify right side
   2,705.40x = 7,491,554.01
5. Step 5: Solve for x
   x = 7,491,554.01/2,705.40
6. Step 6: Final answer
   x = 2,769.11