Finding the Fourth Proportional to 1,782.82, 2,672.38 and 856.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,782.82 : 2,672.38 = 856.98 : x
2. Step 2: Convert to fraction form
   1,782.82/2,672.38 = 856.98/x
3. Step 3: Cross multiply
   1,782.82x = 2,672.38 × 856.98
4. Step 4: Simplify right side
   1,782.82x = 2,290,176.21
5. Step 5: Solve for x
   x = 2,290,176.21/1,782.82
6. Step 6: Final answer
   x = 1,284.58