Finding the Fourth Proportional to 2,978.86, 4,465.16 and 1,003.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,978.86 : 4,465.16 = 1,003.80 : x
2. Step 2: Convert to fraction form
   2,978.86/4,465.16 = 1,003.80/x
3. Step 3: Cross multiply
   2,978.86x = 4,465.16 × 1,003.80
4. Step 4: Simplify right side
   2,978.86x = 4,482,122.59
5. Step 5: Solve for x
   x = 4,482,122.59/2,978.86
6. Step 6: Final answer
   x = 1,504.65