Finding the Fourth Proportional to 1,415.14, 1,953.12 and 825.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,415.14 : 1,953.12 = 825.82 : x
2. Step 2: Convert to fraction form
   1,415.14/1,953.12 = 825.82/x
3. Step 3: Cross multiply
   1,415.14x = 1,953.12 × 825.82
4. Step 4: Simplify right side
   1,415.14x = 1,612,925.56
5. Step 5: Solve for x
   x = 1,612,925.56/1,415.14
6. Step 6: Final answer
   x = 1,139.76