Finding the Fourth Proportional to 13,097.46, 19,629.18 and 5,302.02

Step by Step Solution

1. Step 1: Write the proportion equation
   13,097.46 : 19,629.18 = 5,302.02 : x
2. Step 2: Convert to fraction form
   13,097.46/19,629.18 = 5,302.02/x
3. Step 3: Cross multiply
   13,097.46x = 19,629.18 × 5,302.02
4. Step 4: Simplify right side
   13,097.46x = 104,074,304.94
5. Step 5: Solve for x
   x = 104,074,304.94/13,097.46
6. Step 6: Final answer
   x = 7,946.14