Finding the Fourth Proportional to 9,098.84, 13,639.15 and 3,835.12

Step by Step Solution

1. Step 1: Write the proportion equation
   9,098.84 : 13,639.15 = 3,835.12 : x
2. Step 2: Convert to fraction form
   9,098.84/13,639.15 = 3,835.12/x
3. Step 3: Cross multiply
   9,098.84x = 13,639.15 × 3,835.12
4. Step 4: Simplify right side
   9,098.84x = 52,307,776.95
5. Step 5: Solve for x
   x = 52,307,776.95/9,098.84
6. Step 6: Final answer
   x = 5,748.84