Finding the Fourth Proportional to 1,856.49, 2,564.73 and 1,219.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,856.49 : 2,564.73 = 1,219.94 : x
2. Step 2: Convert to fraction form
   1,856.49/2,564.73 = 1,219.94/x
3. Step 3: Cross multiply
   1,856.49x = 2,564.73 × 1,219.94
4. Step 4: Simplify right side
   1,856.49x = 3,128,803.89
5. Step 5: Solve for x
   x = 3,128,803.89/1,856.49
6. Step 6: Final answer
   x = 1,685.33