Finding the Fourth Proportional to 5,685.04, 7,840.56 and 3,694.06

Step by Step Solution

1. Step 1: Write the proportion equation
   5,685.04 : 7,840.56 = 3,694.06 : x
2. Step 2: Convert to fraction form
   5,685.04/7,840.56 = 3,694.06/x
3. Step 3: Cross multiply
   5,685.04x = 7,840.56 × 3,694.06
4. Step 4: Simplify right side
   5,685.04x = 28,963,499.07
5. Step 5: Solve for x
   x = 28,963,499.07/5,685.04
6. Step 6: Final answer
   x = 5,094.69