Finding the Fourth Proportional to 5,678.60, 7,834.16 and 3,581.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,678.60 : 7,834.16 = 3,581.50 : x
2. Step 2: Convert to fraction form
   5,678.60/7,834.16 = 3,581.50/x
3. Step 3: Cross multiply
   5,678.60x = 7,834.16 × 3,581.50
4. Step 4: Simplify right side
   5,678.60x = 28,058,044.04
5. Step 5: Solve for x
   x = 28,058,044.04/5,678.60
6. Step 6: Final answer
   x = 4,941.01