Finding the Fourth Proportional to 1,375.78, 1,898.32 and 786.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,375.78 : 1,898.32 = 786.10 : x
2. Step 2: Convert to fraction form
   1,375.78/1,898.32 = 786.10/x
3. Step 3: Cross multiply
   1,375.78x = 1,898.32 × 786.10
4. Step 4: Simplify right side
   1,375.78x = 1,492,269.35
5. Step 5: Solve for x
   x = 1,492,269.35/1,375.78
6. Step 6: Final answer
   x = 1,084.67