Finding the Fourth Proportional to 2,538.05, 3,807.18 and 977.53

Step by Step Solution

1. Step 1: Write the proportion equation
   2,538.05 : 3,807.18 = 977.53 : x
2. Step 2: Convert to fraction form
   2,538.05/3,807.18 = 977.53/x
3. Step 3: Cross multiply
   2,538.05x = 3,807.18 × 977.53
4. Step 4: Simplify right side
   2,538.05x = 3,721,632.67
5. Step 5: Solve for x
   x = 3,721,632.67/2,538.05
6. Step 6: Final answer
   x = 1,466.34