Finding the Fourth Proportional to 10,931.60, 16,362.14 and 5,659.35

Step by Step Solution

1. Step 1: Write the proportion equation
   10,931.60 : 16,362.14 = 5,659.35 : x
2. Step 2: Convert to fraction form
   10,931.60/16,362.14 = 5,659.35/x
3. Step 3: Cross multiply
   10,931.60x = 16,362.14 × 5,659.35
4. Step 4: Simplify right side
   10,931.60x = 92,599,048.71
5. Step 5: Solve for x
   x = 92,599,048.71/10,931.60
6. Step 6: Final answer
   x = 8,470.77