Finding the Fourth Proportional to 1,415.08, 1,952.67 and 825.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,415.08 : 1,952.67 = 825.52 : x
2. Step 2: Convert to fraction form
   1,415.08/1,952.67 = 825.52/x
3. Step 3: Cross multiply
   1,415.08x = 1,952.67 × 825.52
4. Step 4: Simplify right side
   1,415.08x = 1,611,968.14
5. Step 5: Solve for x
   x = 1,611,968.14/1,415.08
6. Step 6: Final answer
   x = 1,139.14