Finding the Fourth Proportional to 2,074.02, 3,109.40 and 977.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,074.02 : 3,109.40 = 977.82 : x
2. Step 2: Convert to fraction form
   2,074.02/3,109.40 = 977.82/x
3. Step 3: Cross multiply
   2,074.02x = 3,109.40 × 977.82
4. Step 4: Simplify right side
   2,074.02x = 3,040,433.51
5. Step 5: Solve for x
   x = 3,040,433.51/2,074.02
6. Step 6: Final answer
   x = 1,465.96