Finding the Fourth Proportional to 1,142.02, 1,719.72 and 819.64

Step by Step Solution

1. Step 1: Write the proportion equation
   1,142.02 : 1,719.72 = 819.64 : x
2. Step 2: Convert to fraction form
   1,142.02/1,719.72 = 819.64/x
3. Step 3: Cross multiply
   1,142.02x = 1,719.72 × 819.64
4. Step 4: Simplify right side
   1,142.02x = 1,409,551.30
5. Step 5: Solve for x
   x = 1,409,551.30/1,142.02
6. Step 6: Final answer
   x = 1,234.26