Finding the Fourth Proportional to 9,490.25, 13,096.68 and 5,298.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,490.25 : 13,096.68 = 5,298.50 : x
2. Step 2: Convert to fraction form
   9,490.25/13,096.68 = 5,298.50/x
3. Step 3: Cross multiply
   9,490.25x = 13,096.68 × 5,298.50
4. Step 4: Simplify right side
   9,490.25x = 69,392,758.98
5. Step 5: Solve for x
   x = 69,392,758.98/9,490.25
6. Step 6: Final answer
   x = 7,312.01