Finding the Fourth Proportional to 2,005.02, 3,007.62 and 706.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,005.02 : 3,007.62 = 706.50 : x
2. Step 2: Convert to fraction form
   2,005.02/3,007.62 = 706.50/x
3. Step 3: Cross multiply
   2,005.02x = 3,007.62 × 706.50
4. Step 4: Simplify right side
   2,005.02x = 2,124,883.53
5. Step 5: Solve for x
   x = 2,124,883.53/2,005.02
6. Step 6: Final answer
   x = 1,059.78