Finding the Fourth Proportional to 7,019.02, 9,686.10 and 3,875.14

Step by Step Solution

1. Step 1: Write the proportion equation
   7,019.02 : 9,686.10 = 3,875.14 : x
2. Step 2: Convert to fraction form
   7,019.02/9,686.10 = 3,875.14/x
3. Step 3: Cross multiply
   7,019.02x = 9,686.10 × 3,875.14
4. Step 4: Simplify right side
   7,019.02x = 37,534,993.55
5. Step 5: Solve for x
   x = 37,534,993.55/7,019.02
6. Step 6: Final answer
   x = 5,347.61