Finding the Fourth Proportional to 5,097.72, 7,647.95 and 4,061.63

Step by Step Solution

1. Step 1: Write the proportion equation
   5,097.72 : 7,647.95 = 4,061.63 : x
2. Step 2: Convert to fraction form
   5,097.72/7,647.95 = 4,061.63/x
3. Step 3: Cross multiply
   5,097.72x = 7,647.95 × 4,061.63
4. Step 4: Simplify right side
   5,097.72x = 31,063,143.16
5. Step 5: Solve for x
   x = 31,063,143.16/5,097.72
6. Step 6: Final answer
   x = 6,093.53