Finding the Fourth Proportional to 1,596.10, 2,394.83 and 774.45

Step by Step Solution

1. Step 1: Write the proportion equation
   1,596.10 : 2,394.83 = 774.45 : x
2. Step 2: Convert to fraction form
   1,596.10/2,394.83 = 774.45/x
3. Step 3: Cross multiply
   1,596.10x = 2,394.83 × 774.45
4. Step 4: Simplify right side
   1,596.10x = 1,854,672.22
5. Step 5: Solve for x
   x = 1,854,672.22/1,596.10
6. Step 6: Final answer
   x = 1,162.00