Finding the Fourth Proportional to 9,384.98, 14,062.88 and 3,538.40

Step by Step Solution

1. Step 1: Write the proportion equation
   9,384.98 : 14,062.88 = 3,538.40 : x
2. Step 2: Convert to fraction form
   9,384.98/14,062.88 = 3,538.40/x
3. Step 3: Cross multiply
   9,384.98x = 14,062.88 × 3,538.40
4. Step 4: Simplify right side
   9,384.98x = 49,760,094.59
5. Step 5: Solve for x
   x = 49,760,094.59/9,384.98
6. Step 6: Final answer
   x = 5,302.10