Finding the Fourth Proportional to 5,645.10, 7,786.35 and 3,970.02

Step by Step Solution

1. Step 1: Write the proportion equation
   5,645.10 : 7,786.35 = 3,970.02 : x
2. Step 2: Convert to fraction form
   5,645.10/7,786.35 = 3,970.02/x
3. Step 3: Cross multiply
   5,645.10x = 7,786.35 × 3,970.02
4. Step 4: Simplify right side
   5,645.10x = 30,911,965.23
5. Step 5: Solve for x
   x = 30,911,965.23/5,645.10
6. Step 6: Final answer
   x = 5,475.89