Finding the Fourth Proportional to 5,189.32, 7,783.90 and 1,293.76

Step by Step Solution

1. Step 1: Write the proportion equation
   5,189.32 : 7,783.90 = 1,293.76 : x
2. Step 2: Convert to fraction form
   5,189.32/7,783.90 = 1,293.76/x
3. Step 3: Cross multiply
   5,189.32x = 7,783.90 × 1,293.76
4. Step 4: Simplify right side
   5,189.32x = 10,070,498.46
5. Step 5: Solve for x
   x = 10,070,498.46/5,189.32
6. Step 6: Final answer
   x = 1,940.62