Finding the Fourth Proportional to 5,645.67, 7,782.90 and 3,961.86

Step by Step Solution

1. Step 1: Write the proportion equation
   5,645.67 : 7,782.90 = 3,961.86 : x
2. Step 2: Convert to fraction form
   5,645.67/7,782.90 = 3,961.86/x
3. Step 3: Cross multiply
   5,645.67x = 7,782.90 × 3,961.86
4. Step 4: Simplify right side
   5,645.67x = 30,834,760.19
5. Step 5: Solve for x
   x = 30,834,760.19/5,645.67
6. Step 6: Final answer
   x = 5,461.67