Finding the Fourth Proportional to 1,785.34, 2,677.56 and 1,200.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,785.34 : 2,677.56 = 1,200.02 : x
2. Step 2: Convert to fraction form
   1,785.34/2,677.56 = 1,200.02/x
3. Step 3: Cross multiply
   1,785.34x = 2,677.56 × 1,200.02
4. Step 4: Simplify right side
   1,785.34x = 3,213,107.66
5. Step 5: Solve for x
   x = 3,213,107.66/1,785.34
6. Step 6: Final answer
   x = 1,799.72