Finding the Fourth Proportional to 1,415.03, 1,952.06 and 825.45

Step by Step Solution

1. Step 1: Write the proportion equation
   1,415.03 : 1,952.06 = 825.45 : x
2. Step 2: Convert to fraction form
   1,415.03/1,952.06 = 825.45/x
3. Step 3: Cross multiply
   1,415.03x = 1,952.06 × 825.45
4. Step 4: Simplify right side
   1,415.03x = 1,611,323.80
5. Step 5: Solve for x
   x = 1,611,323.80/1,415.03
6. Step 6: Final answer
   x = 1,138.72