Finding the Fourth Proportional to 9,882.74, 14,830.56 and 3,642.81

Step by Step Solution

1. Step 1: Write the proportion equation
   9,882.74 : 14,830.56 = 3,642.81 : x
2. Step 2: Convert to fraction form
   9,882.74/14,830.56 = 3,642.81/x
3. Step 3: Cross multiply
   9,882.74x = 14,830.56 × 3,642.81
4. Step 4: Simplify right side
   9,882.74x = 54,024,856.66
5. Step 5: Solve for x
   x = 54,024,856.66/9,882.74
6. Step 6: Final answer
   x = 5,466.59