Finding the Fourth Proportional to 10,585.74, 15,801.30 and 9,814.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,585.74 : 15,801.30 = 9,814.82 : x
2. Step 2: Convert to fraction form
   10,585.74/15,801.30 = 9,814.82/x
3. Step 3: Cross multiply
   10,585.74x = 15,801.30 × 9,814.82
4. Step 4: Simplify right side
   10,585.74x = 155,086,915.27
5. Step 5: Solve for x
   x = 155,086,915.27/10,585.74
6. Step 6: Final answer
   x = 14,650.55