Finding the Fourth Proportional to 1,402.42, 2,102.17 and 785.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,402.42 : 2,102.17 = 785.22 : x
2. Step 2: Convert to fraction form
   1,402.42/2,102.17 = 785.22/x
3. Step 3: Cross multiply
   1,402.42x = 2,102.17 × 785.22
4. Step 4: Simplify right side
   1,402.42x = 1,650,665.93
5. Step 5: Solve for x
   x = 1,650,665.93/1,402.42
6. Step 6: Final answer
   x = 1,177.01