Finding the Fourth Proportional to 10,019.70, 13,833.50 and 6,436.12

Step by Step Solution

1. Step 1: Write the proportion equation
   10,019.70 : 13,833.50 = 6,436.12 : x
2. Step 2: Convert to fraction form
   10,019.70/13,833.50 = 6,436.12/x
3. Step 3: Cross multiply
   10,019.70x = 13,833.50 × 6,436.12
4. Step 4: Simplify right side
   10,019.70x = 89,034,066.02
5. Step 5: Solve for x
   x = 89,034,066.02/10,019.70
6. Step 6: Final answer
   x = 8,885.90