Finding the Fourth Proportional to 1,123.00, 1,684.56 and 429.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,123.00 : 1,684.56 = 429.77 : x
2. Step 2: Convert to fraction form
   1,123.00/1,684.56 = 429.77/x
3. Step 3: Cross multiply
   1,123.00x = 1,684.56 × 429.77
4. Step 4: Simplify right side
   1,123.00x = 723,979.17
5. Step 5: Solve for x
   x = 723,979.17/1,123.00
6. Step 6: Final answer
   x = 644.68