Finding the Fourth Proportional to 2,538.16, 3,807.64 and 1,077.32

Step by Step Solution

1. Step 1: Write the proportion equation
   2,538.16 : 3,807.64 = 1,077.32 : x
2. Step 2: Convert to fraction form
   2,538.16/3,807.64 = 1,077.32/x
3. Step 3: Cross multiply
   2,538.16x = 3,807.64 × 1,077.32
4. Step 4: Simplify right side
   2,538.16x = 4,102,046.72
5. Step 5: Solve for x
   x = 4,102,046.72/2,538.16
6. Step 6: Final answer
   x = 1,616.15