Finding the Fourth Proportional to 2,003.42, 3,005.46 and 687.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,003.42 : 3,005.46 = 687.02 : x
2. Step 2: Convert to fraction form
   2,003.42/3,005.46 = 687.02/x
3. Step 3: Cross multiply
   2,003.42x = 3,005.46 × 687.02
4. Step 4: Simplify right side
   2,003.42x = 2,064,811.13
5. Step 5: Solve for x
   x = 2,064,811.13/2,003.42
6. Step 6: Final answer
   x = 1,030.64