Finding the Fourth Proportional to 1,142.52, 1,714.86 and 830.49

Step by Step Solution

1. Step 1: Write the proportion equation
   1,142.52 : 1,714.86 = 830.49 : x
2. Step 2: Convert to fraction form
   1,142.52/1,714.86 = 830.49/x
3. Step 3: Cross multiply
   1,142.52x = 1,714.86 × 830.49
4. Step 4: Simplify right side
   1,142.52x = 1,424,174.08
5. Step 5: Solve for x
   x = 1,424,174.08/1,142.52
6. Step 6: Final answer
   x = 1,246.52