Finding the Fourth Proportional to 1,577.47, 2,364.83 and 796.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,577.47 : 2,364.83 = 796.82 : x
2. Step 2: Convert to fraction form
   1,577.47/2,364.83 = 796.82/x
3. Step 3: Cross multiply
   1,577.47x = 2,364.83 × 796.82
4. Step 4: Simplify right side
   1,577.47x = 1,884,343.84
5. Step 5: Solve for x
   x = 1,884,343.84/1,577.47
6. Step 6: Final answer
   x = 1,194.54