Finding the Fourth Proportional to 1,892.28, 2,610.78 and 1,106.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,892.28 : 2,610.78 = 1,106.30 : x
2. Step 2: Convert to fraction form
   1,892.28/2,610.78 = 1,106.30/x
3. Step 3: Cross multiply
   1,892.28x = 2,610.78 × 1,106.30
4. Step 4: Simplify right side
   1,892.28x = 2,888,305.91
5. Step 5: Solve for x
   x = 2,888,305.91/1,892.28
6. Step 6: Final answer
   x = 1,526.36