Finding the Fourth Proportional to 5,667.34, 7,820.64 and 3,149.32

Step by Step Solution

1. Step 1: Write the proportion equation
   5,667.34 : 7,820.64 = 3,149.32 : x
2. Step 2: Convert to fraction form
   5,667.34/7,820.64 = 3,149.32/x
3. Step 3: Cross multiply
   5,667.34x = 7,820.64 × 3,149.32
4. Step 4: Simplify right side
   5,667.34x = 24,629,697.96
5. Step 5: Solve for x
   x = 24,629,697.96/5,667.34
6. Step 6: Final answer
   x = 4,345.90