Finding the Fourth Proportional to 1,415.43, 1,953.33 and 826.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,415.43 : 1,953.33 = 826.38 : x
2. Step 2: Convert to fraction form
   1,415.43/1,953.33 = 826.38/x
3. Step 3: Cross multiply
   1,415.43x = 1,953.33 × 826.38
4. Step 4: Simplify right side
   1,415.43x = 1,614,192.85
5. Step 5: Solve for x
   x = 1,614,192.85/1,415.43
6. Step 6: Final answer
   x = 1,140.43