Finding the Fourth Proportional to 5,143.78, 7,670.50 and 5,097

Step by Step Solution

1. Step 1: Write the proportion equation
   5,143.78 : 7,670.50 = 5,097 : x
2. Step 2: Convert to fraction form
   5,143.78/7,670.50 = 5,097/x
3. Step 3: Cross multiply
   5,143.78x = 7,670.50 × 5,097
4. Step 4: Simplify right side
   5,143.78x = 39,096,538.50
5. Step 5: Solve for x
   x = 39,096,538.50/5,143.78
6. Step 6: Final answer
   x = 7,600.74