Finding the Fourth Proportional to 3,855.50, 5,784.06 and 1,547

Step by Step Solution

1. Step 1: Write the proportion equation
   3,855.50 : 5,784.06 = 1,547 : x
2. Step 2: Convert to fraction form
   3,855.50/5,784.06 = 1,547/x
3. Step 3: Cross multiply
   3,855.50x = 5,784.06 × 1,547
4. Step 4: Simplify right side
   3,855.50x = 8,947,940.82
5. Step 5: Solve for x
   x = 8,947,940.82/3,855.50
6. Step 6: Final answer
   x = 2,320.83