Finding the Fourth Proportional to 1,415.89, 1,953.94 and 826.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,415.89 : 1,953.94 = 826.31 : x
2. Step 2: Convert to fraction form
   1,415.89/1,953.94 = 826.31/x
3. Step 3: Cross multiply
   1,415.89x = 1,953.94 × 826.31
4. Step 4: Simplify right side
   1,415.89x = 1,614,560.16
5. Step 5: Solve for x
   x = 1,614,560.16/1,415.89
6. Step 6: Final answer
   x = 1,140.31