Finding the Fourth Proportional to 9,298.17, 12,830.70 and 5,106.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,298.17 : 12,830.70 = 5,106.42 : x
2. Step 2: Convert to fraction form
   9,298.17/12,830.70 = 5,106.42/x
3. Step 3: Cross multiply
   9,298.17x = 12,830.70 × 5,106.42
4. Step 4: Simplify right side
   9,298.17x = 65,518,943.09
5. Step 5: Solve for x
   x = 65,518,943.09/9,298.17
6. Step 6: Final answer
   x = 7,046.43