Finding the Fourth Proportional to 31,180.32, 46,770.42 and 7,806.72

Step by Step Solution

1. Step 1: Write the proportion equation
   31,180.32 : 46,770.42 = 7,806.72 : x
2. Step 2: Convert to fraction form
   31,180.32/46,770.42 = 7,806.72/x
3. Step 3: Cross multiply
   31,180.32x = 46,770.42 × 7,806.72
4. Step 4: Simplify right side
   31,180.32x = 365,123,573.22
5. Step 5: Solve for x
   x = 365,123,573.22/31,180.32
6. Step 6: Final answer
   x = 11,710.06