Finding the Fourth Proportional to 9,715.16, 13,406.61 and 5,466.46

Step by Step Solution

1. Step 1: Write the proportion equation
   9,715.16 : 13,406.61 = 5,466.46 : x
2. Step 2: Convert to fraction form
   9,715.16/13,406.61 = 5,466.46/x
3. Step 3: Cross multiply
   9,715.16x = 13,406.61 × 5,466.46
4. Step 4: Simplify right side
   9,715.16x = 73,286,734.56
5. Step 5: Solve for x
   x = 73,286,734.56/9,715.16
6. Step 6: Final answer
   x = 7,543.54