Finding the Fourth Proportional to 1,415.42, 1,953.53 and 826.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,415.42 : 1,953.53 = 826.28 : x
2. Step 2: Convert to fraction form
   1,415.42/1,953.53 = 826.28/x
3. Step 3: Cross multiply
   1,415.42x = 1,953.53 × 826.28
4. Step 4: Simplify right side
   1,415.42x = 1,614,162.77
5. Step 5: Solve for x
   x = 1,614,162.77/1,415.42
6. Step 6: Final answer
   x = 1,140.41