Finding the Fourth Proportional to 9,490, 13,096.84 and 5,298.34

Step by Step Solution

1. Step 1: Write the proportion equation
   9,490 : 13,096.84 = 5,298.34 : x
2. Step 2: Convert to fraction form
   9,490/13,096.84 = 5,298.34/x
3. Step 3: Cross multiply
   9,490x = 13,096.84 × 5,298.34
4. Step 4: Simplify right side
   9,490x = 69,391,511.25
5. Step 5: Solve for x
   x = 69,391,511.25/9,490
6. Step 6: Final answer
   x = 7,312.07