Finding the Fourth Proportional to 9,932.16, 13,706.47 and 5,456

Step by Step Solution

1. Step 1: Write the proportion equation
   9,932.16 : 13,706.47 = 5,456 : x
2. Step 2: Convert to fraction form
   9,932.16/13,706.47 = 5,456/x
3. Step 3: Cross multiply
   9,932.16x = 13,706.47 × 5,456
4. Step 4: Simplify right side
   9,932.16x = 74,782,500.32
5. Step 5: Solve for x
   x = 74,782,500.32/9,932.16
6. Step 6: Final answer
   x = 7,529.33