Finding the Fourth Proportional to 1,383.56, 2,075.37 and 771.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,383.56 : 2,075.37 = 771.16 : x
2. Step 2: Convert to fraction form
   1,383.56/2,075.37 = 771.16/x
3. Step 3: Cross multiply
   1,383.56x = 2,075.37 × 771.16
4. Step 4: Simplify right side
   1,383.56x = 1,600,443.43
5. Step 5: Solve for x
   x = 1,600,443.43/1,383.56
6. Step 6: Final answer
   x = 1,156.75