Finding the Fourth Proportional to 10,585.42, 15,846.96 and 7,824.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,585.42 : 15,846.96 = 7,824.40 : x
2. Step 2: Convert to fraction form
   10,585.42/15,846.96 = 7,824.40/x
3. Step 3: Cross multiply
   10,585.42x = 15,846.96 × 7,824.40
4. Step 4: Simplify right side
   10,585.42x = 123,992,953.82
5. Step 5: Solve for x
   x = 123,992,953.82/10,585.42
6. Step 6: Final answer
   x = 11,713.56