Finding the Fourth Proportional to 10,072.69, 15,109.00 and 5,690.12

Step by Step Solution

1. Step 1: Write the proportion equation
   10,072.69 : 15,109.00 = 5,690.12 : x
2. Step 2: Convert to fraction form
   10,072.69/15,109.00 = 5,690.12/x
3. Step 3: Cross multiply
   10,072.69x = 15,109.00 × 5,690.12
4. Step 4: Simplify right side
   10,072.69x = 85,971,933.31
5. Step 5: Solve for x
   x = 85,971,933.31/10,072.69
6. Step 6: Final answer
   x = 8,535.15