Finding the Fourth Proportional to 1,400.42, 2,099.17 and 783.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,400.42 : 2,099.17 = 783.22 : x
2. Step 2: Convert to fraction form
   1,400.42/2,099.17 = 783.22/x
3. Step 3: Cross multiply
   1,400.42x = 2,099.17 × 783.22
4. Step 4: Simplify right side
   1,400.42x = 1,644,111.93
5. Step 5: Solve for x
   x = 1,644,111.93/1,400.42
6. Step 6: Final answer
   x = 1,174.01