Finding the Fourth Proportional to 5,746.60, 7,931.82 and 3,389.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,746.60 : 7,931.82 = 3,389.50 : x
2. Step 2: Convert to fraction form
   5,746.60/7,931.82 = 3,389.50/x
3. Step 3: Cross multiply
   5,746.60x = 7,931.82 × 3,389.50
4. Step 4: Simplify right side
   5,746.60x = 26,884,903.89
5. Step 5: Solve for x
   x = 26,884,903.89/5,746.60
6. Step 6: Final answer
   x = 4,678.40