Finding the Fourth Proportional to 9,902.89, 14,838.71 and 3,654.30

Step by Step Solution

1. Step 1: Write the proportion equation
   9,902.89 : 14,838.71 = 3,654.30 : x
2. Step 2: Convert to fraction form
   9,902.89/14,838.71 = 3,654.30/x
3. Step 3: Cross multiply
   9,902.89x = 14,838.71 × 3,654.30
4. Step 4: Simplify right side
   9,902.89x = 54,225,079.68
5. Step 5: Solve for x
   x = 54,225,079.68/9,902.89
6. Step 6: Final answer
   x = 5,475.68