Finding the Fourth Proportional to 2,504.74, 3,756.73 and 1,577.46

Step by Step Solution

1. Step 1: Write the proportion equation
   2,504.74 : 3,756.73 = 1,577.46 : x
2. Step 2: Convert to fraction form
   2,504.74/3,756.73 = 1,577.46/x
3. Step 3: Cross multiply
   2,504.74x = 3,756.73 × 1,577.46
4. Step 4: Simplify right side
   2,504.74x = 5,926,091.31
5. Step 5: Solve for x
   x = 5,926,091.31/2,504.74
6. Step 6: Final answer
   x = 2,365.95