Finding the Fourth Proportional to 1,164.42, 1,607.32 and 771.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.42 : 1,607.32 = 771.57 : x
2. Step 2: Convert to fraction form
   1,164.42/1,607.32 = 771.57/x
3. Step 3: Cross multiply
   1,164.42x = 1,607.32 × 771.57
4. Step 4: Simplify right side
   1,164.42x = 1,240,151.86
5. Step 5: Solve for x
   x = 1,240,151.86/1,164.42
6. Step 6: Final answer
   x = 1,065.04