Finding the Fourth Proportional to 2,538.15, 3,807.88 and 977.74

Step by Step Solution

1. Step 1: Write the proportion equation
   2,538.15 : 3,807.88 = 977.74 : x
2. Step 2: Convert to fraction form
   2,538.15/3,807.88 = 977.74/x
3. Step 3: Cross multiply
   2,538.15x = 3,807.88 × 977.74
4. Step 4: Simplify right side
   2,538.15x = 3,723,096.59
5. Step 5: Solve for x
   x = 3,723,096.59/2,538.15
6. Step 6: Final answer
   x = 1,466.85