Finding the Fourth Proportional to 1,447.47, 1,997.51 and 784.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,447.47 : 1,997.51 = 784.32 : x
2. Step 2: Convert to fraction form
   1,447.47/1,997.51 = 784.32/x
3. Step 3: Cross multiply
   1,447.47x = 1,997.51 × 784.32
4. Step 4: Simplify right side
   1,447.47x = 1,566,680.04
5. Step 5: Solve for x
   x = 1,566,680.04/1,447.47
6. Step 6: Final answer
   x = 1,082.36