Finding the Fourth Proportional to 1,225.82, 1,839.64 and 577.01

Step by Step Solution

1. Step 1: Write the proportion equation
   1,225.82 : 1,839.64 = 577.01 : x
2. Step 2: Convert to fraction form
   1,225.82/1,839.64 = 577.01/x
3. Step 3: Cross multiply
   1,225.82x = 1,839.64 × 577.01
4. Step 4: Simplify right side
   1,225.82x = 1,061,480.04
5. Step 5: Solve for x
   x = 1,061,480.04/1,225.82
6. Step 6: Final answer
   x = 865.94