Finding the Fourth Proportional to 1,374.67, 1,897.05 and 785.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,374.67 : 1,897.05 = 785.23 : x
2. Step 2: Convert to fraction form
   1,374.67/1,897.05 = 785.23/x
3. Step 3: Cross multiply
   1,374.67x = 1,897.05 × 785.23
4. Step 4: Simplify right side
   1,374.67x = 1,489,618.77
5. Step 5: Solve for x
   x = 1,489,618.77/1,374.67
6. Step 6: Final answer
   x = 1,083.62