Finding the Fourth Proportional to 7,663.16, 10,578.25 and 5,146.74

Step by Step Solution

1. Step 1: Write the proportion equation
   7,663.16 : 10,578.25 = 5,146.74 : x
2. Step 2: Convert to fraction form
   7,663.16/10,578.25 = 5,146.74/x
3. Step 3: Cross multiply
   7,663.16x = 10,578.25 × 5,146.74
4. Step 4: Simplify right side
   7,663.16x = 54,443,479.89
5. Step 5: Solve for x
   x = 54,443,479.89/7,663.16
6. Step 6: Final answer
   x = 7,104.58