Finding the Fourth Proportional to 1,833.50, 2,530.35 and 1,005.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,833.50 : 2,530.35 = 1,005.50 : x
2. Step 2: Convert to fraction form
   1,833.50/2,530.35 = 1,005.50/x
3. Step 3: Cross multiply
   1,833.50x = 2,530.35 × 1,005.50
4. Step 4: Simplify right side
   1,833.50x = 2,544,266.93
5. Step 5: Solve for x
   x = 2,544,266.93/1,833.50
6. Step 6: Final answer
   x = 1,387.66