Finding the Fourth Proportional to 1,597.91, 2,397.16 and 776.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,597.91 : 2,397.16 = 776.57 : x
2. Step 2: Convert to fraction form
   1,597.91/2,397.16 = 776.57/x
3. Step 3: Cross multiply
   1,597.91x = 2,397.16 × 776.57
4. Step 4: Simplify right side
   1,597.91x = 1,861,562.54
5. Step 5: Solve for x
   x = 1,861,562.54/1,597.91
6. Step 6: Final answer
   x = 1,165.00