Finding the Fourth Proportional to 1,885.82, 2,830.38 and 1,009.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,885.82 : 2,830.38 = 1,009.02 : x
2. Step 2: Convert to fraction form
   1,885.82/2,830.38 = 1,009.02/x
3. Step 3: Cross multiply
   1,885.82x = 2,830.38 × 1,009.02
4. Step 4: Simplify right side
   1,885.82x = 2,855,910.03
5. Step 5: Solve for x
   x = 2,855,910.03/1,885.82
6. Step 6: Final answer
   x = 1,514.41