Finding the Fourth Proportional to 1,801.88, 2,486.54 and 1,005.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,801.88 : 2,486.54 = 1,005.20 : x
2. Step 2: Convert to fraction form
   1,801.88/2,486.54 = 1,005.20/x
3. Step 3: Cross multiply
   1,801.88x = 2,486.54 × 1,005.20
4. Step 4: Simplify right side
   1,801.88x = 2,499,470.01
5. Step 5: Solve for x
   x = 2,499,470.01/1,801.88
6. Step 6: Final answer
   x = 1,387.15