Finding the Fourth Proportional to 9,770.96, 13,484.64 and 5,579.12

Step by Step Solution

1. Step 1: Write the proportion equation
   9,770.96 : 13,484.64 = 5,579.12 : x
2. Step 2: Convert to fraction form
   9,770.96/13,484.64 = 5,579.12/x
3. Step 3: Cross multiply
   9,770.96x = 13,484.64 × 5,579.12
4. Step 4: Simplify right side
   9,770.96x = 75,232,424.72
5. Step 5: Solve for x
   x = 75,232,424.72/9,770.96
6. Step 6: Final answer
   x = 7,699.59