Finding the Fourth Proportional to 2,538.17, 3,809.56 and 1,763.15

Step by Step Solution

1. Step 1: Write the proportion equation
   2,538.17 : 3,809.56 = 1,763.15 : x
2. Step 2: Convert to fraction form
   2,538.17/3,809.56 = 1,763.15/x
3. Step 3: Cross multiply
   2,538.17x = 3,809.56 × 1,763.15
4. Step 4: Simplify right side
   2,538.17x = 6,716,845.15
5. Step 5: Solve for x
   x = 6,716,845.15/2,538.17
6. Step 6: Final answer
   x = 2,646.33