Finding the Fourth Proportional to 1,374.84, 1,897.56 and 785.43

Step by Step Solution

1. Step 1: Write the proportion equation
   1,374.84 : 1,897.56 = 785.43 : x
2. Step 2: Convert to fraction form
   1,374.84/1,897.56 = 785.43/x
3. Step 3: Cross multiply
   1,374.84x = 1,897.56 × 785.43
4. Step 4: Simplify right side
   1,374.84x = 1,490,400.55
5. Step 5: Solve for x
   x = 1,490,400.55/1,374.84
6. Step 6: Final answer
   x = 1,084.05