Finding the Fourth Proportional to 7,459.56, 10,294.25 and 4,102.65

Step by Step Solution

1. Step 1: Write the proportion equation
   7,459.56 : 10,294.25 = 4,102.65 : x
2. Step 2: Convert to fraction form
   7,459.56/10,294.25 = 4,102.65/x
3. Step 3: Cross multiply
   7,459.56x = 10,294.25 × 4,102.65
4. Step 4: Simplify right side
   7,459.56x = 42,233,684.25
5. Step 5: Solve for x
   x = 42,233,684.25/7,459.56
6. Step 6: Final answer
   x = 5,661.69