Finding the Fourth Proportional to 2,078.35, 3,117.98 and 762.05

Step by Step Solution

1. Step 1: Write the proportion equation
   2,078.35 : 3,117.98 = 762.05 : x
2. Step 2: Convert to fraction form
   2,078.35/3,117.98 = 762.05/x
3. Step 3: Cross multiply
   2,078.35x = 3,117.98 × 762.05
4. Step 4: Simplify right side
   2,078.35x = 2,376,056.66
5. Step 5: Solve for x
   x = 2,376,056.66/2,078.35
6. Step 6: Final answer
   x = 1,143.24