Finding the Fourth Proportional to 9,901.64, 14,836.83 and 3,653.05

Step by Step Solution

1. Step 1: Write the proportion equation
   9,901.64 : 14,836.83 = 3,653.05 : x
2. Step 2: Convert to fraction form
   9,901.64/14,836.83 = 3,653.05/x
3. Step 3: Cross multiply
   9,901.64x = 14,836.83 × 3,653.05
4. Step 4: Simplify right side
   9,901.64x = 54,199,681.83
5. Step 5: Solve for x
   x = 54,199,681.83/9,901.64
6. Step 6: Final answer
   x = 5,473.81