Finding the Fourth Proportional to 1,442.31, 2,164.47 and 785.51

Step by Step Solution

1. Step 1: Write the proportion equation
   1,442.31 : 2,164.47 = 785.51 : x
2. Step 2: Convert to fraction form
   1,442.31/2,164.47 = 785.51/x
3. Step 3: Cross multiply
   1,442.31x = 2,164.47 × 785.51
4. Step 4: Simplify right side
   1,442.31x = 1,700,223.77
5. Step 5: Solve for x
   x = 1,700,223.77/1,442.31
6. Step 6: Final answer
   x = 1,178.82