Finding the Fourth Proportional to 1,378.54, 1,900.83 and 1,004.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,378.54 : 1,900.83 = 1,004.86 : x
2. Step 2: Convert to fraction form
   1,378.54/1,900.83 = 1,004.86/x
3. Step 3: Cross multiply
   1,378.54x = 1,900.83 × 1,004.86
4. Step 4: Simplify right side
   1,378.54x = 1,910,068.03
5. Step 5: Solve for x
   x = 1,910,068.03/1,378.54
6. Step 6: Final answer
   x = 1,385.57