Finding the Fourth Proportional to 1,374.80, 1,897.25 and 785.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,374.80 : 1,897.25 = 785.52 : x
2. Step 2: Convert to fraction form
   1,374.80/1,897.25 = 785.52/x
3. Step 3: Cross multiply
   1,374.80x = 1,897.25 × 785.52
4. Step 4: Simplify right side
   1,374.80x = 1,490,323.89
5. Step 5: Solve for x
   x = 1,490,323.89/1,374.80
6. Step 6: Final answer
   x = 1,084.03