Finding the Fourth Proportional to 9,834.34, 14,675.91 and 9,778.18

Step by Step Solution

1. Step 1: Write the proportion equation
   9,834.34 : 14,675.91 = 9,778.18 : x
2. Step 2: Convert to fraction form
   9,834.34/14,675.91 = 9,778.18/x
3. Step 3: Cross multiply
   9,834.34x = 14,675.91 × 9,778.18
4. Step 4: Simplify right side
   9,834.34x = 143,503,689.64
5. Step 5: Solve for x
   x = 143,503,689.64/9,834.34
6. Step 6: Final answer
   x = 14,592.10