Finding the Fourth Proportional to 5,100.37, 7,645.65 and 2,790.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,100.37 : 7,645.65 = 2,790.25 : x
2. Step 2: Convert to fraction form
   5,100.37/7,645.65 = 2,790.25/x
3. Step 3: Cross multiply
   5,100.37x = 7,645.65 × 2,790.25
4. Step 4: Simplify right side
   5,100.37x = 21,333,274.91
5. Step 5: Solve for x
   x = 21,333,274.91/5,100.37
6. Step 6: Final answer
   x = 4,182.69