Finding the Fourth Proportional to 1,032.42, 1,424.72 and 566.67

Step by Step Solution

1. Step 1: Write the proportion equation
   1,032.42 : 1,424.72 = 566.67 : x
2. Step 2: Convert to fraction form
   1,032.42/1,424.72 = 566.67/x
3. Step 3: Cross multiply
   1,032.42x = 1,424.72 × 566.67
4. Step 4: Simplify right side
   1,032.42x = 807,343.25
5. Step 5: Solve for x
   x = 807,343.25/1,032.42
6. Step 6: Final answer
   x = 781.99