Finding the Fourth Proportional to 9,885.30, 14,827.97 and 3,642.60

Step by Step Solution

1. Step 1: Write the proportion equation
   9,885.30 : 14,827.97 = 3,642.60 : x
2. Step 2: Convert to fraction form
   9,885.30/14,827.97 = 3,642.60/x
3. Step 3: Cross multiply
   9,885.30x = 14,827.97 × 3,642.60
4. Step 4: Simplify right side
   9,885.30x = 54,012,428.23
5. Step 5: Solve for x
   x = 54,012,428.23/9,885.30
6. Step 6: Final answer
   x = 5,463.92