Finding the Fourth Proportional to 1,497.30, 2,066.18 and 825.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,497.30 : 2,066.18 = 825.05 : x
2. Step 2: Convert to fraction form
   1,497.30/2,066.18 = 825.05/x
3. Step 3: Cross multiply
   1,497.30x = 2,066.18 × 825.05
4. Step 4: Simplify right side
   1,497.30x = 1,704,702.85
5. Step 5: Solve for x
   x = 1,704,702.85/1,497.30
6. Step 6: Final answer
   x = 1,138.52