Finding the Fourth Proportional to 9,946.24, 13,726.86 and 5,697.64

Step by Step Solution

1. Step 1: Write the proportion equation
   9,946.24 : 13,726.86 = 5,697.64 : x
2. Step 2: Convert to fraction form
   9,946.24/13,726.86 = 5,697.64/x
3. Step 3: Cross multiply
   9,946.24x = 13,726.86 × 5,697.64
4. Step 4: Simplify right side
   9,946.24x = 78,210,706.61
5. Step 5: Solve for x
   x = 78,210,706.61/9,946.24
6. Step 6: Final answer
   x = 7,863.34