Finding the Fourth Proportional to 1,415.74, 1,953.69 and 826.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,415.74 : 1,953.69 = 826.27 : x
2. Step 2: Convert to fraction form
   1,415.74/1,953.69 = 826.27/x
3. Step 3: Cross multiply
   1,415.74x = 1,953.69 × 826.27
4. Step 4: Simplify right side
   1,415.74x = 1,614,275.44
5. Step 5: Solve for x
   x = 1,614,275.44/1,415.74
6. Step 6: Final answer
   x = 1,140.23