Finding the Fourth Proportional to 5,667.50, 7,820.72 and 3,149.40

Step by Step Solution

1. Step 1: Write the proportion equation
   5,667.50 : 7,820.72 = 3,149.40 : x
2. Step 2: Convert to fraction form
   5,667.50/7,820.72 = 3,149.40/x
3. Step 3: Cross multiply
   5,667.50x = 7,820.72 × 3,149.40
4. Step 4: Simplify right side
   5,667.50x = 24,630,575.57
5. Step 5: Solve for x
   x = 24,630,575.57/5,667.50
6. Step 6: Final answer
   x = 4,345.93