Finding the Fourth Proportional to 1,597.62, 2,397.83 and 776.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,597.62 : 2,397.83 = 776.50 : x
2. Step 2: Convert to fraction form
   1,597.62/2,397.83 = 776.50/x
3. Step 3: Cross multiply
   1,597.62x = 2,397.83 × 776.50
4. Step 4: Simplify right side
   1,597.62x = 1,861,915.00
5. Step 5: Solve for x
   x = 1,861,915.00/1,597.62
6. Step 6: Final answer
   x = 1,165.43