Finding the Fourth Proportional to 9,834.84, 14,754.87 and 5,667.35

Step by Step Solution

1. Step 1: Write the proportion equation
   9,834.84 : 14,754.87 = 5,667.35 : x
2. Step 2: Convert to fraction form
   9,834.84/14,754.87 = 5,667.35/x
3. Step 3: Cross multiply
   9,834.84x = 14,754.87 × 5,667.35
4. Step 4: Simplify right side
   9,834.84x = 83,620,938.72
5. Step 5: Solve for x
   x = 83,620,938.72/9,834.84
6. Step 6: Final answer
   x = 8,502.52