Finding the Fourth Proportional to 1,438.76, 1,985.50 and 809.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,438.76 : 1,985.50 = 809.32 : x
2. Step 2: Convert to fraction form
   1,438.76/1,985.50 = 809.32/x
3. Step 3: Cross multiply
   1,438.76x = 1,985.50 × 809.32
4. Step 4: Simplify right side
   1,438.76x = 1,606,904.86
5. Step 5: Solve for x
   x = 1,606,904.86/1,438.76
6. Step 6: Final answer
   x = 1,116.87