Finding the Fourth Proportional to 5,109.52, 7,660.38 and 2,642.78

Step by Step Solution

1. Step 1: Write the proportion equation
   5,109.52 : 7,660.38 = 2,642.78 : x
2. Step 2: Convert to fraction form
   5,109.52/7,660.38 = 2,642.78/x
3. Step 3: Cross multiply
   5,109.52x = 7,660.38 × 2,642.78
4. Step 4: Simplify right side
   5,109.52x = 20,244,699.06
5. Step 5: Solve for x
   x = 20,244,699.06/5,109.52
6. Step 6: Final answer
   x = 3,962.15