Finding the Fourth Proportional to 5,138.56, 7,710.72 and 2,830.72

Step by Step Solution

1. Step 1: Write the proportion equation
   5,138.56 : 7,710.72 = 2,830.72 : x
2. Step 2: Convert to fraction form
   5,138.56/7,710.72 = 2,830.72/x
3. Step 3: Cross multiply
   5,138.56x = 7,710.72 × 2,830.72
4. Step 4: Simplify right side
   5,138.56x = 21,826,889.32
5. Step 5: Solve for x
   x = 21,826,889.32/5,138.56
6. Step 6: Final answer
   x = 4,247.67