Finding the Fourth Proportional to 9,830.35, 14,732.16 and 5,667.76

Step by Step Solution

1. Step 1: Write the proportion equation
   9,830.35 : 14,732.16 = 5,667.76 : x
2. Step 2: Convert to fraction form
   9,830.35/14,732.16 = 5,667.76/x
3. Step 3: Cross multiply
   9,830.35x = 14,732.16 × 5,667.76
4. Step 4: Simplify right side
   9,830.35x = 83,498,347.16
5. Step 5: Solve for x
   x = 83,498,347.16/9,830.35
6. Step 6: Final answer
   x = 8,493.93