Finding the Fourth Proportional to 1,219.72, 1,829.34 and 354.04

Step by Step Solution

1. Step 1: Write the proportion equation
   1,219.72 : 1,829.34 = 354.04 : x
2. Step 2: Convert to fraction form
   1,219.72/1,829.34 = 354.04/x
3. Step 3: Cross multiply
   1,219.72x = 1,829.34 × 354.04
4. Step 4: Simplify right side
   1,219.72x = 647,659.53
5. Step 5: Solve for x
   x = 647,659.53/1,219.72
6. Step 6: Final answer
   x = 530.99