Finding the Fourth Proportional to 1,429.29, 1,972.22 and 869.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,429.29 : 1,972.22 = 869.78 : x
2. Step 2: Convert to fraction form
   1,429.29/1,972.22 = 869.78/x
3. Step 3: Cross multiply
   1,429.29x = 1,972.22 × 869.78
4. Step 4: Simplify right side
   1,429.29x = 1,715,398.09
5. Step 5: Solve for x
   x = 1,715,398.09/1,429.29
6. Step 6: Final answer
   x = 1,200.17