Finding the Fourth Proportional to 1,374.78, 1,897.32 and 785.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,374.78 : 1,897.32 = 785.31 : x
2. Step 2: Convert to fraction form
   1,374.78/1,897.32 = 785.31/x
3. Step 3: Cross multiply
   1,374.78x = 1,897.32 × 785.31
4. Step 4: Simplify right side
   1,374.78x = 1,489,984.37
5. Step 5: Solve for x
   x = 1,489,984.37/1,374.78
6. Step 6: Final answer
   x = 1,083.80