Finding the Fourth Proportional to 9,910.64, 13,676.70 and 5,434.47

Step by Step Solution

1. Step 1: Write the proportion equation
   9,910.64 : 13,676.70 = 5,434.47 : x
2. Step 2: Convert to fraction form
   9,910.64/13,676.70 = 5,434.47/x
3. Step 3: Cross multiply
   9,910.64x = 13,676.70 × 5,434.47
4. Step 4: Simplify right side
   9,910.64x = 74,325,636.23
5. Step 5: Solve for x
   x = 74,325,636.23/9,910.64
6. Step 6: Final answer
   x = 7,499.58