Finding the Fourth Proportional to 1,597.43, 2,395.50 and 776.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,597.43 : 2,395.50 = 776.09 : x
2. Step 2: Convert to fraction form
   1,597.43/2,395.50 = 776.09/x
3. Step 3: Cross multiply
   1,597.43x = 2,395.50 × 776.09
4. Step 4: Simplify right side
   1,597.43x = 1,859,123.60
5. Step 5: Solve for x
   x = 1,859,123.60/1,597.43
6. Step 6: Final answer
   x = 1,163.82