Finding the Fourth Proportional to 1,415.49, 1,953.33 and 825.99

Step by Step Solution

1. Step 1: Write the proportion equation
   1,415.49 : 1,953.33 = 825.99 : x
2. Step 2: Convert to fraction form
   1,415.49/1,953.33 = 825.99/x
3. Step 3: Cross multiply
   1,415.49x = 1,953.33 × 825.99
4. Step 4: Simplify right side
   1,415.49x = 1,613,431.05
5. Step 5: Solve for x
   x = 1,613,431.05/1,415.49
6. Step 6: Final answer
   x = 1,139.84