Finding the Fourth Proportional to 1,577.58, 2,362.56 and 796.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,577.58 : 2,362.56 = 796.56 : x
2. Step 2: Convert to fraction form
   1,577.58/2,362.56 = 796.56/x
3. Step 3: Cross multiply
   1,577.58x = 2,362.56 × 796.56
4. Step 4: Simplify right side
   1,577.58x = 1,881,920.79
5. Step 5: Solve for x
   x = 1,881,920.79/1,577.58
6. Step 6: Final answer
   x = 1,192.92