Finding the Fourth Proportional to 1,382.93, 1,908.42 and 785.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,382.93 : 1,908.42 = 785.53 : x
2. Step 2: Convert to fraction form
   1,382.93/1,908.42 = 785.53/x
3. Step 3: Cross multiply
   1,382.93x = 1,908.42 × 785.53
4. Step 4: Simplify right side
   1,382.93x = 1,499,121.16
5. Step 5: Solve for x
   x = 1,499,121.16/1,382.93
6. Step 6: Final answer
   x = 1,084.02