Finding the Fourth Proportional to 2,274.24, 3,411.54 and 975.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,274.24 : 3,411.54 = 975.38 : x
2. Step 2: Convert to fraction form
   2,274.24/3,411.54 = 975.38/x
3. Step 3: Cross multiply
   2,274.24x = 3,411.54 × 975.38
4. Step 4: Simplify right side
   2,274.24x = 3,327,547.89
5. Step 5: Solve for x
   x = 3,327,547.89/2,274.24
6. Step 6: Final answer
   x = 1,463.15