Finding the Fourth Proportional to 5,659.18, 8,498.34 and 3,688.16

Step by Step Solution

1. Step 1: Write the proportion equation
   5,659.18 : 8,498.34 = 3,688.16 : x
2. Step 2: Convert to fraction form
   5,659.18/8,498.34 = 3,688.16/x
3. Step 3: Cross multiply
   5,659.18x = 8,498.34 × 3,688.16
4. Step 4: Simplify right side
   5,659.18x = 31,343,195.16
5. Step 5: Solve for x
   x = 31,343,195.16/5,659.18
6. Step 6: Final answer
   x = 5,538.47