Finding the Fourth Proportional to 1,549.50, 2,322.39 and 856.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,549.50 : 2,322.39 = 856.53 : x
2. Step 2: Convert to fraction form
   1,549.50/2,322.39 = 856.53/x
3. Step 3: Cross multiply
   1,549.50x = 2,322.39 × 856.53
4. Step 4: Simplify right side
   1,549.50x = 1,989,196.71
5. Step 5: Solve for x
   x = 1,989,196.71/1,549.50
6. Step 6: Final answer
   x = 1,283.77