Finding the Fourth Proportional to 1,374.90, 1,897.41 and 785.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,374.90 : 1,897.41 = 785.34 : x
2. Step 2: Convert to fraction form
   1,374.90/1,897.41 = 785.34/x
3. Step 3: Cross multiply
   1,374.90x = 1,897.41 × 785.34
4. Step 4: Simplify right side
   1,374.90x = 1,490,111.97
5. Step 5: Solve for x
   x = 1,490,111.97/1,374.90
6. Step 6: Final answer
   x = 1,083.80