Finding the Fourth Proportional to 1,096.79, 1,642.51 and 577.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,096.79 : 1,642.51 = 577.23 : x
2. Step 2: Convert to fraction form
   1,096.79/1,642.51 = 577.23/x
3. Step 3: Cross multiply
   1,096.79x = 1,642.51 × 577.23
4. Step 4: Simplify right side
   1,096.79x = 948,100.61
5. Step 5: Solve for x
   x = 948,100.61/1,096.79
6. Step 6: Final answer
   x = 864.44