Finding the Fourth Proportional to 3,926.22, 5,875.32 and 3,412.30

Step by Step Solution

1. Step 1: Write the proportion equation
   3,926.22 : 5,875.32 = 3,412.30 : x
2. Step 2: Convert to fraction form
   3,926.22/5,875.32 = 3,412.30/x
3. Step 3: Cross multiply
   3,926.22x = 5,875.32 × 3,412.30
4. Step 4: Simplify right side
   3,926.22x = 20,048,354.44
5. Step 5: Solve for x
   x = 20,048,354.44/3,926.22
6. Step 6: Final answer
   x = 5,106.27