Finding the Fourth Proportional to 9,314.38, 12,853.20 and 5,537.35

Step by Step Solution

1. Step 1: Write the proportion equation
   9,314.38 : 12,853.20 = 5,537.35 : x
2. Step 2: Convert to fraction form
   9,314.38/12,853.20 = 5,537.35/x
3. Step 3: Cross multiply
   9,314.38x = 12,853.20 × 5,537.35
4. Step 4: Simplify right side
   9,314.38x = 71,172,667.02
5. Step 5: Solve for x
   x = 71,172,667.02/9,314.38
6. Step 6: Final answer
   x = 7,641.16