Finding the Fourth Proportional to 1,206.50, 1,809.72 and 384.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,206.50 : 1,809.72 = 384.82 : x
2. Step 2: Convert to fraction form
   1,206.50/1,809.72 = 384.82/x
3. Step 3: Cross multiply
   1,206.50x = 1,809.72 × 384.82
4. Step 4: Simplify right side
   1,206.50x = 696,411.93
5. Step 5: Solve for x
   x = 696,411.93/1,206.50
6. Step 6: Final answer
   x = 577.22