Finding the Fourth Proportional to 20,736.40, 31,085.34 and 7,585.76

Step by Step Solution

1. Step 1: Write the proportion equation
   20,736.40 : 31,085.34 = 7,585.76 : x
2. Step 2: Convert to fraction form
   20,736.40/31,085.34 = 7,585.76/x
3. Step 3: Cross multiply
   20,736.40x = 31,085.34 × 7,585.76
4. Step 4: Simplify right side
   20,736.40x = 235,805,928.76
5. Step 5: Solve for x
   x = 235,805,928.76/20,736.40
6. Step 6: Final answer
   x = 11,371.59