Finding the Fourth Proportional to 830.06, 1,142.88 and 726.56

Step by Step Solution

1. Step 1: Write the proportion equation
   830.06 : 1,142.88 = 726.56 : x
2. Step 2: Convert to fraction form
   830.06/1,142.88 = 726.56/x
3. Step 3: Cross multiply
   830.06x = 1,142.88 × 726.56
4. Step 4: Simplify right side
   830.06x = 830,370.89
5. Step 5: Solve for x
   x = 830,370.89/830.06
6. Step 6: Final answer
   x = 1,000.37