Finding the Fourth Proportional to 9,337.34, 14,006.42 and 3,097.91

Step by Step Solution

1. Step 1: Write the proportion equation
   9,337.34 : 14,006.42 = 3,097.91 : x
2. Step 2: Convert to fraction form
   9,337.34/14,006.42 = 3,097.91/x
3. Step 3: Cross multiply
   9,337.34x = 14,006.42 × 3,097.91
4. Step 4: Simplify right side
   9,337.34x = 43,390,659.73
5. Step 5: Solve for x
   x = 43,390,659.73/9,337.34
6. Step 6: Final answer
   x = 4,647.00