Finding the Fourth Proportional to 9,770.63, 13,484.34 and 5,578.88

Step by Step Solution

1. Step 1: Write the proportion equation
   9,770.63 : 13,484.34 = 5,578.88 : x
2. Step 2: Convert to fraction form
   9,770.63/13,484.34 = 5,578.88/x
3. Step 3: Cross multiply
   9,770.63x = 13,484.34 × 5,578.88
4. Step 4: Simplify right side
   9,770.63x = 75,227,447.32
5. Step 5: Solve for x
   x = 75,227,447.32/9,770.63
6. Step 6: Final answer
   x = 7,699.35