Finding the Fourth Proportional to 10,023, 15,034.71 and 3,097.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,023 : 15,034.71 = 3,097.50 : x
2. Step 2: Convert to fraction form
   10,023/15,034.71 = 3,097.50/x
3. Step 3: Cross multiply
   10,023x = 15,034.71 × 3,097.50
4. Step 4: Simplify right side
   10,023x = 46,570,014.23
5. Step 5: Solve for x
   x = 46,570,014.23/10,023
6. Step 6: Final answer
   x = 4,646.31