Finding the Fourth Proportional to 31,498.91, 47,247.18 and 7,806.53

Step by Step Solution

1. Step 1: Write the proportion equation
   31,498.91 : 47,247.18 = 7,806.53 : x
2. Step 2: Convert to fraction form
   31,498.91/47,247.18 = 7,806.53/x
3. Step 3: Cross multiply
   31,498.91x = 47,247.18 × 7,806.53
4. Step 4: Simplify right side
   31,498.91x = 368,836,439.75
5. Step 5: Solve for x
   x = 368,836,439.75/31,498.91
6. Step 6: Final answer
   x = 11,709.50