Finding the Fourth Proportional to 1,445.01, 1,993.86 and 824.01

Step by Step Solution

1. Step 1: Write the proportion equation
   1,445.01 : 1,993.86 = 824.01 : x
2. Step 2: Convert to fraction form
   1,445.01/1,993.86 = 824.01/x
3. Step 3: Cross multiply
   1,445.01x = 1,993.86 × 824.01
4. Step 4: Simplify right side
   1,445.01x = 1,642,960.58
5. Step 5: Solve for x
   x = 1,642,960.58/1,445.01
6. Step 6: Final answer
   x = 1,136.99