Finding the Fourth Proportional to 1,090.86, 1,504.71 and 825.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,090.86 : 1,504.71 = 825.18 : x
2. Step 2: Convert to fraction form
   1,090.86/1,504.71 = 825.18/x
3. Step 3: Cross multiply
   1,090.86x = 1,504.71 × 825.18
4. Step 4: Simplify right side
   1,090.86x = 1,241,656.60
5. Step 5: Solve for x
   x = 1,241,656.60/1,090.86
6. Step 6: Final answer
   x = 1,138.24