Finding the Fourth Proportional to 1,447.16, 1,997.07 and 784.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,447.16 : 1,997.07 = 784.02 : x
2. Step 2: Convert to fraction form
   1,447.16/1,997.07 = 784.02/x
3. Step 3: Cross multiply
   1,447.16x = 1,997.07 × 784.02
4. Step 4: Simplify right side
   1,447.16x = 1,565,742.82
5. Step 5: Solve for x
   x = 1,565,742.82/1,447.16
6. Step 6: Final answer
   x = 1,081.95