Finding the Fourth Proportional to 2,264.45, 3,126.46 and 1,415

Step by Step Solution

1. Step 1: Write the proportion equation
   2,264.45 : 3,126.46 = 1,415 : x
2. Step 2: Convert to fraction form
   2,264.45/3,126.46 = 1,415/x
3. Step 3: Cross multiply
   2,264.45x = 3,126.46 × 1,415
4. Step 4: Simplify right side
   2,264.45x = 4,423,940.90
5. Step 5: Solve for x
   x = 4,423,940.90/2,264.45
6. Step 6: Final answer
   x = 1,953.65