Finding the Fourth Proportional to 1,892.61, 2,835.71 and 1,200.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,892.61 : 2,835.71 = 1,200.06 : x
2. Step 2: Convert to fraction form
   1,892.61/2,835.71 = 1,200.06/x
3. Step 3: Cross multiply
   1,892.61x = 2,835.71 × 1,200.06
4. Step 4: Simplify right side
   1,892.61x = 3,403,022.14
5. Step 5: Solve for x
   x = 3,403,022.14/1,892.61
6. Step 6: Final answer
   x = 1,798.06