Finding the Fourth Proportional to 1,374.83, 1,897.12 and 785.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,374.83 : 1,897.12 = 785.25 : x
2. Step 2: Convert to fraction form
   1,374.83/1,897.12 = 785.25/x
3. Step 3: Cross multiply
   1,374.83x = 1,897.12 × 785.25
4. Step 4: Simplify right side
   1,374.83x = 1,489,713.48
5. Step 5: Solve for x
   x = 1,489,713.48/1,374.83
6. Step 6: Final answer
   x = 1,083.56