Finding the Fourth Proportional to 9,834.30, 14,738.40 and 5,158.29

Step by Step Solution

1. Step 1: Write the proportion equation
   9,834.30 : 14,738.40 = 5,158.29 : x
2. Step 2: Convert to fraction form
   9,834.30/14,738.40 = 5,158.29/x
3. Step 3: Cross multiply
   9,834.30x = 14,738.40 × 5,158.29
4. Step 4: Simplify right side
   9,834.30x = 76,024,941.34
5. Step 5: Solve for x
   x = 76,024,941.34/9,834.30
6. Step 6: Final answer
   x = 7,730.59