Finding the Fourth Proportional to 1,407.66, 1,942.89 and 847.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,407.66 : 1,942.89 = 847.84 : x
2. Step 2: Convert to fraction form
   1,407.66/1,942.89 = 847.84/x
3. Step 3: Cross multiply
   1,407.66x = 1,942.89 × 847.84
4. Step 4: Simplify right side
   1,407.66x = 1,647,259.86
5. Step 5: Solve for x
   x = 1,647,259.86/1,407.66
6. Step 6: Final answer
   x = 1,170.21