Finding the Fourth Proportional to 2,075.16, 3,112.76 and 976.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,075.16 : 3,112.76 = 976.40 : x
2. Step 2: Convert to fraction form
   2,075.16/3,112.76 = 976.40/x
3. Step 3: Cross multiply
   2,075.16x = 3,112.76 × 976.40
4. Step 4: Simplify right side
   2,075.16x = 3,039,298.86
5. Step 5: Solve for x
   x = 3,039,298.86/2,075.16
6. Step 6: Final answer
   x = 1,464.61