Finding the Fourth Proportional to 1,597.57, 2,395.59 and 776.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,597.57 : 2,395.59 = 776.05 : x
2. Step 2: Convert to fraction form
   1,597.57/2,395.59 = 776.05/x
3. Step 3: Cross multiply
   1,597.57x = 2,395.59 × 776.05
4. Step 4: Simplify right side
   1,597.57x = 1,859,097.62
5. Step 5: Solve for x
   x = 1,859,097.62/1,597.57
6. Step 6: Final answer
   x = 1,163.70