Finding the Fourth Proportional to 10,429.75, 15,638.32 and 4,097.05

Step by Step Solution

1. Step 1: Write the proportion equation
   10,429.75 : 15,638.32 = 4,097.05 : x
2. Step 2: Convert to fraction form
   10,429.75/15,638.32 = 4,097.05/x
3. Step 3: Cross multiply
   10,429.75x = 15,638.32 × 4,097.05
4. Step 4: Simplify right side
   10,429.75x = 64,070,925.78
5. Step 5: Solve for x
   x = 64,070,925.78/10,429.75
6. Step 6: Final answer
   x = 6,143.09