Finding the Fourth Proportional to 5,789.64, 7,984.38 and 3,902.76

Step by Step Solution

1. Step 1: Write the proportion equation
   5,789.64 : 7,984.38 = 3,902.76 : x
2. Step 2: Convert to fraction form
   5,789.64/7,984.38 = 3,902.76/x
3. Step 3: Cross multiply
   5,789.64x = 7,984.38 × 3,902.76
4. Step 4: Simplify right side
   5,789.64x = 31,161,118.89
5. Step 5: Solve for x
   x = 31,161,118.89/5,789.64
6. Step 6: Final answer
   x = 5,382.22