Finding the Fourth Proportional to 1,095.35, 1,645.86 and 824.00

Step by Step Solution

1. Step 1: Write the proportion equation
   1,095.35 : 1,645.86 = 824.00 : x
2. Step 2: Convert to fraction form
   1,095.35/1,645.86 = 824.00/x
3. Step 3: Cross multiply
   1,095.35x = 1,645.86 × 824.00
4. Step 4: Simplify right side
   1,095.35x = 1,356,180.41
5. Step 5: Solve for x
   x = 1,356,180.41/1,095.35
6. Step 6: Final answer
   x = 1,238.13