Finding the Fourth Proportional to 5,686.47, 7,842.42 and 3,696.30

Step by Step Solution

1. Step 1: Write the proportion equation
   5,686.47 : 7,842.42 = 3,696.30 : x
2. Step 2: Convert to fraction form
   5,686.47/7,842.42 = 3,696.30/x
3. Step 3: Cross multiply
   5,686.47x = 7,842.42 × 3,696.30
4. Step 4: Simplify right side
   5,686.47x = 28,987,937.05
5. Step 5: Solve for x
   x = 28,987,937.05/5,686.47
6. Step 6: Final answer
   x = 5,097.70