Finding the Fourth Proportional to 9,899.10, 14,838.24 and 3,655.14

Step by Step Solution

1. Step 1: Write the proportion equation
   9,899.10 : 14,838.24 = 3,655.14 : x
2. Step 2: Convert to fraction form
   9,899.10/14,838.24 = 3,655.14/x
3. Step 3: Cross multiply
   9,899.10x = 14,838.24 × 3,655.14
4. Step 4: Simplify right side
   9,899.10x = 54,235,844.55
5. Step 5: Solve for x
   x = 54,235,844.55/9,899.10
6. Step 6: Final answer
   x = 5,478.87