Finding the Fourth Proportional to 1,046.42, 1,444.06 and 580.67

Step by Step Solution

1. Step 1: Write the proportion equation
   1,046.42 : 1,444.06 = 580.67 : x
2. Step 2: Convert to fraction form
   1,046.42/1,444.06 = 580.67/x
3. Step 3: Cross multiply
   1,046.42x = 1,444.06 × 580.67
4. Step 4: Simplify right side
   1,046.42x = 838,522.32
5. Step 5: Solve for x
   x = 838,522.32/1,046.42
6. Step 6: Final answer
   x = 801.32