Finding the Fourth Proportional to 1,005.62, 1,507.34 and 823.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,005.62 : 1,507.34 = 823.82 : x
2. Step 2: Convert to fraction form
   1,005.62/1,507.34 = 823.82/x
3. Step 3: Cross multiply
   1,005.62x = 1,507.34 × 823.82
4. Step 4: Simplify right side
   1,005.62x = 1,241,776.84
5. Step 5: Solve for x
   x = 1,241,776.84/1,005.62
6. Step 6: Final answer
   x = 1,234.84