Finding the Fourth Proportional to 1,594.63, 2,389.78 and 771.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,594.63 : 2,389.78 = 771.27 : x
2. Step 2: Convert to fraction form
   1,594.63/2,389.78 = 771.27/x
3. Step 3: Cross multiply
   1,594.63x = 2,389.78 × 771.27
4. Step 4: Simplify right side
   1,594.63x = 1,843,165.62
5. Step 5: Solve for x
   x = 1,843,165.62/1,594.63
6. Step 6: Final answer
   x = 1,155.86