Finding the Fourth Proportional to 31,340.82, 47,011.82 and 7,648.44

Step by Step Solution

1. Step 1: Write the proportion equation
   31,340.82 : 47,011.82 = 7,648.44 : x
2. Step 2: Convert to fraction form
   31,340.82/47,011.82 = 7,648.44/x
3. Step 3: Cross multiply
   31,340.82x = 47,011.82 × 7,648.44
4. Step 4: Simplify right side
   31,340.82x = 359,566,870.02
5. Step 5: Solve for x
   x = 359,566,870.02/31,340.82
6. Step 6: Final answer
   x = 11,472.80