Finding the Fourth Proportional to 9,743.32, 14,606.30 and 3,585.88

Step by Step Solution

1. Step 1: Write the proportion equation
   9,743.32 : 14,606.30 = 3,585.88 : x
2. Step 2: Convert to fraction form
   9,743.32/14,606.30 = 3,585.88/x
3. Step 3: Cross multiply
   9,743.32x = 14,606.30 × 3,585.88
4. Step 4: Simplify right side
   9,743.32x = 52,376,439.04
5. Step 5: Solve for x
   x = 52,376,439.04/9,743.32
6. Step 6: Final answer
   x = 5,375.63