Finding the Fourth Proportional to 9,298.64, 12,833.16 and 5,106.80

Step by Step Solution

1. Step 1: Write the proportion equation
   9,298.64 : 12,833.16 = 5,106.80 : x
2. Step 2: Convert to fraction form
   9,298.64/12,833.16 = 5,106.80/x
3. Step 3: Cross multiply
   9,298.64x = 12,833.16 × 5,106.80
4. Step 4: Simplify right side
   9,298.64x = 65,536,381.49
5. Step 5: Solve for x
   x = 65,536,381.49/9,298.64
6. Step 6: Final answer
   x = 7,047.95