Finding the Fourth Proportional to 3,846.60, 5,776.62 and 3,649.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,846.60 : 5,776.62 = 3,649.50 : x
2. Step 2: Convert to fraction form
   3,846.60/5,776.62 = 3,649.50/x
3. Step 3: Cross multiply
   3,846.60x = 5,776.62 × 3,649.50
4. Step 4: Simplify right side
   3,846.60x = 21,081,774.69
5. Step 5: Solve for x
   x = 21,081,774.69/3,846.60
6. Step 6: Final answer
   x = 5,480.63