Finding the Fourth Proportional to 2,756.82, 3,804.50 and 1,578

Step by Step Solution

1. Step 1: Write the proportion equation
   2,756.82 : 3,804.50 = 1,578 : x
2. Step 2: Convert to fraction form
   2,756.82/3,804.50 = 1,578/x
3. Step 3: Cross multiply
   2,756.82x = 3,804.50 × 1,578
4. Step 4: Simplify right side
   2,756.82x = 6,003,501
5. Step 5: Solve for x
   x = 6,003,501/2,756.82
6. Step 6: Final answer
   x = 2,177.69