Finding the Fourth Proportional to 5,100.78, 7,655.97 and 2,505.58

Step by Step Solution

1. Step 1: Write the proportion equation
   5,100.78 : 7,655.97 = 2,505.58 : x
2. Step 2: Convert to fraction form
   5,100.78/7,655.97 = 2,505.58/x
3. Step 3: Cross multiply
   5,100.78x = 7,655.97 × 2,505.58
4. Step 4: Simplify right side
   5,100.78x = 19,182,645.31
5. Step 5: Solve for x
   x = 19,182,645.31/5,100.78
6. Step 6: Final answer
   x = 3,760.73