Finding the Fourth Proportional to 1,892, 2,610.96 and 1,064

Step by Step Solution

1. Step 1: Write the proportion equation
   1,892 : 2,610.96 = 1,064 : x
2. Step 2: Convert to fraction form
   1,892/2,610.96 = 1,064/x
3. Step 3: Cross multiply
   1,892x = 2,610.96 × 1,064
4. Step 4: Simplify right side
   1,892x = 2,778,061.44
5. Step 5: Solve for x
   x = 2,778,061.44/1,892
6. Step 6: Final answer
   x = 1,468.32