Finding the Fourth Proportional to 9,756.42, 13,464.63 and 5,564.58

Step by Step Solution

1. Step 1: Write the proportion equation
   9,756.42 : 13,464.63 = 5,564.58 : x
2. Step 2: Convert to fraction form
   9,756.42/13,464.63 = 5,564.58/x
3. Step 3: Cross multiply
   9,756.42x = 13,464.63 × 5,564.58
4. Step 4: Simplify right side
   9,756.42x = 74,925,010.81
5. Step 5: Solve for x
   x = 74,925,010.81/9,756.42
6. Step 6: Final answer
   x = 7,679.56