Finding the Fourth Proportional to 2,705.46, 3,734.01 and 2,582.34

Step by Step Solution

1. Step 1: Write the proportion equation
   2,705.46 : 3,734.01 = 2,582.34 : x
2. Step 2: Convert to fraction form
   2,705.46/3,734.01 = 2,582.34/x
3. Step 3: Cross multiply
   2,705.46x = 3,734.01 × 2,582.34
4. Step 4: Simplify right side
   2,705.46x = 9,642,483.38
5. Step 5: Solve for x
   x = 9,642,483.38/2,705.46
6. Step 6: Final answer
   x = 3,564.08