Finding the Fourth Proportional to 1,429.50, 2,145.48 and 564.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,429.50 : 2,145.48 = 564.42 : x
2. Step 2: Convert to fraction form
   1,429.50/2,145.48 = 564.42/x
3. Step 3: Cross multiply
   1,429.50x = 2,145.48 × 564.42
4. Step 4: Simplify right side
   1,429.50x = 1,210,951.82
5. Step 5: Solve for x
   x = 1,210,951.82/1,429.50
6. Step 6: Final answer
   x = 847.12