Finding the Fourth Proportional to 1,929.86, 2,896.82 and 1,064.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,929.86 : 2,896.82 = 1,064.78 : x
2. Step 2: Convert to fraction form
   1,929.86/2,896.82 = 1,064.78/x
3. Step 3: Cross multiply
   1,929.86x = 2,896.82 × 1,064.78
4. Step 4: Simplify right side
   1,929.86x = 3,084,470.68
5. Step 5: Solve for x
   x = 3,084,470.68/1,929.86
6. Step 6: Final answer
   x = 1,598.29