Finding the Fourth Proportional to 1,445.32, 1,994.10 and 824.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,445.32 : 1,994.10 = 824.32 : x
2. Step 2: Convert to fraction form
   1,445.32/1,994.10 = 824.32/x
3. Step 3: Cross multiply
   1,445.32x = 1,994.10 × 824.32
4. Step 4: Simplify right side
   1,445.32x = 1,643,776.51
5. Step 5: Solve for x
   x = 1,643,776.51/1,445.32
6. Step 6: Final answer
   x = 1,137.31