Finding the Fourth Proportional to 2,577.83, 3,865.12 and 1,189.28

Step by Step Solution

1. Step 1: Write the proportion equation
   2,577.83 : 3,865.12 = 1,189.28 : x
2. Step 2: Convert to fraction form
   2,577.83/3,865.12 = 1,189.28/x
3. Step 3: Cross multiply
   2,577.83x = 3,865.12 × 1,189.28
4. Step 4: Simplify right side
   2,577.83x = 4,596,716.60
5. Step 5: Solve for x
   x = 4,596,716.60/2,577.83
6. Step 6: Final answer
   x = 1,783.18