Finding the Fourth Proportional to 10,096.09, 15,146.31 and 3,075.92

Step by Step Solution

1. Step 1: Write the proportion equation
   10,096.09 : 15,146.31 = 3,075.92 : x
2. Step 2: Convert to fraction form
   10,096.09/15,146.31 = 3,075.92/x
3. Step 3: Cross multiply
   10,096.09x = 15,146.31 × 3,075.92
4. Step 4: Simplify right side
   10,096.09x = 46,588,813.15
5. Step 5: Solve for x
   x = 46,588,813.15/10,096.09
6. Step 6: Final answer
   x = 4,614.54