Finding the Fourth Proportional to 1,095.30, 1,641.42 and 785.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,095.30 : 1,641.42 = 785.34 : x
2. Step 2: Convert to fraction form
   1,095.30/1,641.42 = 785.34/x
3. Step 3: Cross multiply
   1,095.30x = 1,641.42 × 785.34
4. Step 4: Simplify right side
   1,095.30x = 1,289,072.78
5. Step 5: Solve for x
   x = 1,289,072.78/1,095.30
6. Step 6: Final answer
   x = 1,176.91