Finding the Fourth Proportional to 9,905.65, 14,864.33 and 3,670.09

Step by Step Solution

1. Step 1: Write the proportion equation
   9,905.65 : 14,864.33 = 3,670.09 : x
2. Step 2: Convert to fraction form
   9,905.65/14,864.33 = 3,670.09/x
3. Step 3: Cross multiply
   9,905.65x = 14,864.33 × 3,670.09
4. Step 4: Simplify right side
   9,905.65x = 54,553,428.89
5. Step 5: Solve for x
   x = 54,553,428.89/9,905.65
6. Step 6: Final answer
   x = 5,507.30