Finding the Fourth Proportional to 5,152.20, 7,714.45 and 4,238.78

Step by Step Solution

1. Step 1: Write the proportion equation
   5,152.20 : 7,714.45 = 4,238.78 : x
2. Step 2: Convert to fraction form
   5,152.20/7,714.45 = 4,238.78/x
3. Step 3: Cross multiply
   5,152.20x = 7,714.45 × 4,238.78
4. Step 4: Simplify right side
   5,152.20x = 32,699,856.37
5. Step 5: Solve for x
   x = 32,699,856.37/5,152.20
6. Step 6: Final answer
   x = 6,346.78