Finding the Fourth Proportional to 1,009.86, 1,513.68 and 828.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,009.86 : 1,513.68 = 828.06 : x
2. Step 2: Convert to fraction form
   1,009.86/1,513.68 = 828.06/x
3. Step 3: Cross multiply
   1,009.86x = 1,513.68 × 828.06
4. Step 4: Simplify right side
   1,009.86x = 1,253,417.86
5. Step 5: Solve for x
   x = 1,253,417.86/1,009.86
6. Step 6: Final answer
   x = 1,241.18