Finding the Fourth Proportional to 9,901.53, 13,664.16 and 5,709.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,901.53 : 13,664.16 = 5,709.78 : x
2. Step 2: Convert to fraction form
   9,901.53/13,664.16 = 5,709.78/x
3. Step 3: Cross multiply
   9,901.53x = 13,664.16 × 5,709.78
4. Step 4: Simplify right side
   9,901.53x = 78,019,347.48
5. Step 5: Solve for x
   x = 78,019,347.48/9,901.53
6. Step 6: Final answer
   x = 7,879.52