Finding the Fourth Proportional to 2,071.49, 3,105.32 and 772.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,071.49 : 3,105.32 = 772.02 : x
2. Step 2: Convert to fraction form
   2,071.49/3,105.32 = 772.02/x
3. Step 3: Cross multiply
   2,071.49x = 3,105.32 × 772.02
4. Step 4: Simplify right side
   2,071.49x = 2,397,365.29
5. Step 5: Solve for x
   x = 2,397,365.29/2,071.49
6. Step 6: Final answer
   x = 1,157.32