Finding the Fourth Proportional to 9,790.30, 13,507.40 and 5,540.94

Step by Step Solution

1. Step 1: Write the proportion equation
   9,790.30 : 13,507.40 = 5,540.94 : x
2. Step 2: Convert to fraction form
   9,790.30/13,507.40 = 5,540.94/x
3. Step 3: Cross multiply
   9,790.30x = 13,507.40 × 5,540.94
4. Step 4: Simplify right side
   9,790.30x = 74,843,597.71
5. Step 5: Solve for x
   x = 74,843,597.71/9,790.30
6. Step 6: Final answer
   x = 7,644.67