Finding the Fourth Proportional to 9,146.84, 13,726.50 and 4,216.52

Step by Step Solution

1. Step 1: Write the proportion equation
   9,146.84 : 13,726.50 = 4,216.52 : x
2. Step 2: Convert to fraction form
   9,146.84/13,726.50 = 4,216.52/x
3. Step 3: Cross multiply
   9,146.84x = 13,726.50 × 4,216.52
4. Step 4: Simplify right side
   9,146.84x = 57,878,080.28
5. Step 5: Solve for x
   x = 57,878,080.28/9,146.84
6. Step 6: Final answer
   x = 6,327.66