Finding the Fourth Proportional to 9,739.50, 13,440.78 and 5,547.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,739.50 : 13,440.78 = 5,547.78 : x
2. Step 2: Convert to fraction form
   9,739.50/13,440.78 = 5,547.78/x
3. Step 3: Cross multiply
   9,739.50x = 13,440.78 × 5,547.78
4. Step 4: Simplify right side
   9,739.50x = 74,566,490.47
5. Step 5: Solve for x
   x = 74,566,490.47/9,739.50
6. Step 6: Final answer
   x = 7,656.09