Finding the Fourth Proportional to 2,538.17, 3,806.24 and 977.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,538.17 : 3,806.24 = 977.30 : x
2. Step 2: Convert to fraction form
   2,538.17/3,806.24 = 977.30/x
3. Step 3: Cross multiply
   2,538.17x = 3,806.24 × 977.30
4. Step 4: Simplify right side
   2,538.17x = 3,719,838.35
5. Step 5: Solve for x
   x = 3,719,838.35/2,538.17
6. Step 6: Final answer
   x = 1,465.56