Finding the Fourth Proportional to 7,463.69, 10,299.65 and 4,106.51

Step by Step Solution

1. Step 1: Write the proportion equation
   7,463.69 : 10,299.65 = 4,106.51 : x
2. Step 2: Convert to fraction form
   7,463.69/10,299.65 = 4,106.51/x
3. Step 3: Cross multiply
   7,463.69x = 10,299.65 × 4,106.51
4. Step 4: Simplify right side
   7,463.69x = 42,295,543.69
5. Step 5: Solve for x
   x = 42,295,543.69/7,463.69
6. Step 6: Final answer
   x = 5,666.84