Finding the Fourth Proportional to 5,102.01, 7,638.15 and 3,791.58

Step by Step Solution

1. Step 1: Write the proportion equation
   5,102.01 : 7,638.15 = 3,791.58 : x
2. Step 2: Convert to fraction form
   5,102.01/7,638.15 = 3,791.58/x
3. Step 3: Cross multiply
   5,102.01x = 7,638.15 × 3,791.58
4. Step 4: Simplify right side
   5,102.01x = 28,960,656.78
5. Step 5: Solve for x
   x = 28,960,656.78/5,102.01
6. Step 6: Final answer
   x = 5,676.32