Finding the Fourth Proportional to 5,878.08, 8,109.40 and 3,783.40

Step by Step Solution

1. Step 1: Write the proportion equation
   5,878.08 : 8,109.40 = 3,783.40 : x
2. Step 2: Convert to fraction form
   5,878.08/8,109.40 = 3,783.40/x
3. Step 3: Cross multiply
   5,878.08x = 8,109.40 × 3,783.40
4. Step 4: Simplify right side
   5,878.08x = 30,681,103.96
5. Step 5: Solve for x
   x = 30,681,103.96/5,878.08
6. Step 6: Final answer
   x = 5,219.58