Finding the Fourth Proportional to 1,327.82, 1,992.06 and 462.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,327.82 : 1,992.06 = 462.14 : x
2. Step 2: Convert to fraction form
   1,327.82/1,992.06 = 462.14/x
3. Step 3: Cross multiply
   1,327.82x = 1,992.06 × 462.14
4. Step 4: Simplify right side
   1,327.82x = 920,610.61
5. Step 5: Solve for x
   x = 920,610.61/1,327.82
6. Step 6: Final answer
   x = 693.32