Finding the Fourth Proportional to 5,143.06, 7,697.31 and 2,948.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,143.06 : 7,697.31 = 2,948.50 : x
2. Step 2: Convert to fraction form
   5,143.06/7,697.31 = 2,948.50/x
3. Step 3: Cross multiply
   5,143.06x = 7,697.31 × 2,948.50
4. Step 4: Simplify right side
   5,143.06x = 22,695,518.54
5. Step 5: Solve for x
   x = 22,695,518.54/5,143.06
6. Step 6: Final answer
   x = 4,412.84