Finding the Fourth Proportional to 9,547.59, 13,178.70 and 5,569.44

Step by Step Solution

1. Step 1: Write the proportion equation
   9,547.59 : 13,178.70 = 5,569.44 : x
2. Step 2: Convert to fraction form
   9,547.59/13,178.70 = 5,569.44/x
3. Step 3: Cross multiply
   9,547.59x = 13,178.70 × 5,569.44
4. Step 4: Simplify right side
   9,547.59x = 73,397,978.93
5. Step 5: Solve for x
   x = 73,397,978.93/9,547.59
6. Step 6: Final answer
   x = 7,687.59