Finding the Fourth Proportional to 2,538.60, 3,806.46 and 1,077

Step by Step Solution

1. Step 1: Write the proportion equation
   2,538.60 : 3,806.46 = 1,077 : x
2. Step 2: Convert to fraction form
   2,538.60/3,806.46 = 1,077/x
3. Step 3: Cross multiply
   2,538.60x = 3,806.46 × 1,077
4. Step 4: Simplify right side
   2,538.60x = 4,099,557.42
5. Step 5: Solve for x
   x = 4,099,557.42/2,538.60
6. Step 6: Final answer
   x = 1,614.89