Finding the Fourth Proportional to 2,004.71, 3,006.45 and 772.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,004.71 : 3,006.45 = 772.02 : x
2. Step 2: Convert to fraction form
   2,004.71/3,006.45 = 772.02/x
3. Step 3: Cross multiply
   2,004.71x = 3,006.45 × 772.02
4. Step 4: Simplify right side
   2,004.71x = 2,321,039.53
5. Step 5: Solve for x
   x = 2,321,039.53/2,004.71
6. Step 6: Final answer
   x = 1,157.80