Finding the Fourth Proportional to 1,549.69, 2,322.73 and 856.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,549.69 : 2,322.73 = 856.78 : x
2. Step 2: Convert to fraction form
   1,549.69/2,322.73 = 856.78/x
3. Step 3: Cross multiply
   1,549.69x = 2,322.73 × 856.78
4. Step 4: Simplify right side
   1,549.69x = 1,990,068.61
5. Step 5: Solve for x
   x = 1,990,068.61/1,549.69
6. Step 6: Final answer
   x = 1,284.17