Finding the Fourth Proportional to 2,071.84, 3,105.84 and 772.32

Step by Step Solution

1. Step 1: Write the proportion equation
   2,071.84 : 3,105.84 = 772.32 : x
2. Step 2: Convert to fraction form
   2,071.84/3,105.84 = 772.32/x
3. Step 3: Cross multiply
   2,071.84x = 3,105.84 × 772.32
4. Step 4: Simplify right side
   2,071.84x = 2,398,702.35
5. Step 5: Solve for x
   x = 2,398,702.35/2,071.84
6. Step 6: Final answer
   x = 1,157.76