Finding the Fourth Proportional to 1,447.32, 1,997.32 and 784.19

Step by Step Solution

1. Step 1: Write the proportion equation
   1,447.32 : 1,997.32 = 784.19 : x
2. Step 2: Convert to fraction form
   1,447.32/1,997.32 = 784.19/x
3. Step 3: Cross multiply
   1,447.32x = 1,997.32 × 784.19
4. Step 4: Simplify right side
   1,447.32x = 1,566,271.66
5. Step 5: Solve for x
   x = 1,566,271.66/1,447.32
6. Step 6: Final answer
   x = 1,082.19