Finding the Fourth Proportional to 1,469.76, 2,204.56 and 429.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,469.76 : 2,204.56 = 429.72 : x
2. Step 2: Convert to fraction form
   1,469.76/2,204.56 = 429.72/x
3. Step 3: Cross multiply
   1,469.76x = 2,204.56 × 429.72
4. Step 4: Simplify right side
   1,469.76x = 947,343.52
5. Step 5: Solve for x
   x = 947,343.52/1,469.76
6. Step 6: Final answer
   x = 644.56