Finding the Fourth Proportional to 7,856.42, 11,768.71 and 3,633.67

Step by Step Solution

1. Step 1: Write the proportion equation
   7,856.42 : 11,768.71 = 3,633.67 : x
2. Step 2: Convert to fraction form
   7,856.42/11,768.71 = 3,633.67/x
3. Step 3: Cross multiply
   7,856.42x = 11,768.71 × 3,633.67
4. Step 4: Simplify right side
   7,856.42x = 42,763,569.96
5. Step 5: Solve for x
   x = 42,763,569.96/7,856.42
6. Step 6: Final answer
   x = 5,443.14