Finding the Fourth Proportional to 1,892.30, 2,839.38 and 853.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,892.30 : 2,839.38 = 853.02 : x
2. Step 2: Convert to fraction form
   1,892.30/2,839.38 = 853.02/x
3. Step 3: Cross multiply
   1,892.30x = 2,839.38 × 853.02
4. Step 4: Simplify right side
   1,892.30x = 2,422,047.93
5. Step 5: Solve for x
   x = 2,422,047.93/1,892.30
6. Step 6: Final answer
   x = 1,279.95