Finding the Fourth Proportional to 11,502, 15,885.72 and 7,769.52

Step by Step Solution

1. Step 1: Write the proportion equation
   11,502 : 15,885.72 = 7,769.52 : x
2. Step 2: Convert to fraction form
   11,502/15,885.72 = 7,769.52/x
3. Step 3: Cross multiply
   11,502x = 15,885.72 × 7,769.52
4. Step 4: Simplify right side
   11,502x = 123,424,419.25
5. Step 5: Solve for x
   x = 123,424,419.25/11,502
6. Step 6: Final answer
   x = 10,730.69