Finding the Fourth Proportional to 5,684.69, 7,875.30 and 5,548.61

Step by Step Solution

1. Step 1: Write the proportion equation
   5,684.69 : 7,875.30 = 5,548.61 : x
2. Step 2: Convert to fraction form
   5,684.69/7,875.30 = 5,548.61/x
3. Step 3: Cross multiply
   5,684.69x = 7,875.30 × 5,548.61
4. Step 4: Simplify right side
   5,684.69x = 43,696,968.33
5. Step 5: Solve for x
   x = 43,696,968.33/5,684.69
6. Step 6: Final answer
   x = 7,686.78