Finding the Fourth Proportional to 11,302.10, 15,586.72 and 7,715.42

Step by Step Solution

1. Step 1: Write the proportion equation
   11,302.10 : 15,586.72 = 7,715.42 : x
2. Step 2: Convert to fraction form
   11,302.10/15,586.72 = 7,715.42/x
3. Step 3: Cross multiply
   11,302.10x = 15,586.72 × 7,715.42
4. Step 4: Simplify right side
   11,302.10x = 120,258,091.22
5. Step 5: Solve for x
   x = 120,258,091.22/11,302.10
6. Step 6: Final answer
   x = 10,640.33