Finding the Fourth Proportional to 1,835.78, 2,531.69 and 1,206.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,835.78 : 2,531.69 = 1,206.05 : x
2. Step 2: Convert to fraction form
   1,835.78/2,531.69 = 1,206.05/x
3. Step 3: Cross multiply
   1,835.78x = 2,531.69 × 1,206.05
4. Step 4: Simplify right side
   1,835.78x = 3,053,344.72
5. Step 5: Solve for x
   x = 3,053,344.72/1,835.78
6. Step 6: Final answer
   x = 1,663.24