Finding the Fourth Proportional to 1,192.10, 1,644.02 and 772.01

Step by Step Solution

1. Step 1: Write the proportion equation
   1,192.10 : 1,644.02 = 772.01 : x
2. Step 2: Convert to fraction form
   1,192.10/1,644.02 = 772.01/x
3. Step 3: Cross multiply
   1,192.10x = 1,644.02 × 772.01
4. Step 4: Simplify right side
   1,192.10x = 1,269,196.86
5. Step 5: Solve for x
   x = 1,269,196.86/1,192.10
6. Step 6: Final answer
   x = 1,064.68