Finding the Fourth Proportional to 9,386.63, 12,956.43 and 5,410.40

Step by Step Solution

1. Step 1: Write the proportion equation
   9,386.63 : 12,956.43 = 5,410.40 : x
2. Step 2: Convert to fraction form
   9,386.63/12,956.43 = 5,410.40/x
3. Step 3: Cross multiply
   9,386.63x = 12,956.43 × 5,410.40
4. Step 4: Simplify right side
   9,386.63x = 70,099,404.09
5. Step 5: Solve for x
   x = 70,099,404.09/9,386.63
6. Step 6: Final answer
   x = 7,468.01