Finding the Fourth Proportional to 1,400.64, 1,932.89 and 771.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,400.64 : 1,932.89 = 771.23 : x
2. Step 2: Convert to fraction form
   1,400.64/1,932.89 = 771.23/x
3. Step 3: Cross multiply
   1,400.64x = 1,932.89 × 771.23
4. Step 4: Simplify right side
   1,400.64x = 1,490,689.23
5. Step 5: Solve for x
   x = 1,490,689.23/1,400.64
6. Step 6: Final answer
   x = 1,064.30