Finding the Fourth Proportional to 1,378.35, 1,901.55 and 846.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,378.35 : 1,901.55 = 846.78 : x
2. Step 2: Convert to fraction form
   1,378.35/1,901.55 = 846.78/x
3. Step 3: Cross multiply
   1,378.35x = 1,901.55 × 846.78
4. Step 4: Simplify right side
   1,378.35x = 1,610,194.51
5. Step 5: Solve for x
   x = 1,610,194.51/1,378.35
6. Step 6: Final answer
   x = 1,168.20