Finding the Fourth Proportional to 2,077.76, 3,113.78 and 1,382.60

Step by Step Solution

1. Step 1: Write the proportion equation
   2,077.76 : 3,113.78 = 1,382.60 : x
2. Step 2: Convert to fraction form
   2,077.76/3,113.78 = 1,382.60/x
3. Step 3: Cross multiply
   2,077.76x = 3,113.78 × 1,382.60
4. Step 4: Simplify right side
   2,077.76x = 4,305,089.75
5. Step 5: Solve for x
   x = 4,305,089.75/2,077.76
6. Step 6: Final answer
   x = 2,071.99