Finding the Fourth Proportional to 9,075.64, 12,523.98 and 5,096.68

Step by Step Solution

1. Step 1: Write the proportion equation
   9,075.64 : 12,523.98 = 5,096.68 : x
2. Step 2: Convert to fraction form
   9,075.64/12,523.98 = 5,096.68/x
3. Step 3: Cross multiply
   9,075.64x = 12,523.98 × 5,096.68
4. Step 4: Simplify right side
   9,075.64x = 63,830,718.39
5. Step 5: Solve for x
   x = 63,830,718.39/9,075.64
6. Step 6: Final answer
   x = 7,033.19