Finding the Fourth Proportional to 9,462.43, 13,056.96 and 5,685.04

Step by Step Solution

1. Step 1: Write the proportion equation
   9,462.43 : 13,056.96 = 5,685.04 : x
2. Step 2: Convert to fraction form
   9,462.43/13,056.96 = 5,685.04/x
3. Step 3: Cross multiply
   9,462.43x = 13,056.96 × 5,685.04
4. Step 4: Simplify right side
   9,462.43x = 74,229,339.88
5. Step 5: Solve for x
   x = 74,229,339.88/9,462.43
6. Step 6: Final answer
   x = 7,844.64