Finding the Fourth Proportional to 3,196.64, 4,385.38 and 3,166.40

Step by Step Solution

1. Step 1: Write the proportion equation
   3,196.64 : 4,385.38 = 3,166.40 : x
2. Step 2: Convert to fraction form
   3,196.64/4,385.38 = 3,166.40/x
3. Step 3: Cross multiply
   3,196.64x = 4,385.38 × 3,166.40
4. Step 4: Simplify right side
   3,196.64x = 13,885,867.23
5. Step 5: Solve for x
   x = 13,885,867.23/3,196.64
6. Step 6: Final answer
   x = 4,343.89