Finding the Fourth Proportional to 11,505.06, 15,872.94 and 7,528.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,505.06 : 15,872.94 = 7,528.50 : x
2. Step 2: Convert to fraction form
   11,505.06/15,872.94 = 7,528.50/x
3. Step 3: Cross multiply
   11,505.06x = 15,872.94 × 7,528.50
4. Step 4: Simplify right side
   11,505.06x = 119,499,428.79
5. Step 5: Solve for x
   x = 119,499,428.79/11,505.06
6. Step 6: Final answer
   x = 10,386.68