Finding the Fourth Proportional to 1,323.62, 1,985.56 and 457.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,323.62 : 1,985.56 = 457.82 : x
2. Step 2: Convert to fraction form
   1,323.62/1,985.56 = 457.82/x
3. Step 3: Cross multiply
   1,323.62x = 1,985.56 × 457.82
4. Step 4: Simplify right side
   1,323.62x = 909,016.86
5. Step 5: Solve for x
   x = 909,016.86/1,323.62
6. Step 6: Final answer
   x = 686.77