Finding the Fourth Proportional to 1,892.21, 2,835.72 and 1,429.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,892.21 : 2,835.72 = 1,429.61 : x
2. Step 2: Convert to fraction form
   1,892.21/2,835.72 = 1,429.61/x
3. Step 3: Cross multiply
   1,892.21x = 2,835.72 × 1,429.61
4. Step 4: Simplify right side
   1,892.21x = 4,053,959.49
5. Step 5: Solve for x
   x = 4,053,959.49/1,892.21
6. Step 6: Final answer
   x = 2,142.45