Finding the Fourth Proportional to 11,538.25, 17,295.68 and 5,302.72

Step by Step Solution

1. Step 1: Write the proportion equation
   11,538.25 : 17,295.68 = 5,302.72 : x
2. Step 2: Convert to fraction form
   11,538.25/17,295.68 = 5,302.72/x
3. Step 3: Cross multiply
   11,538.25x = 17,295.68 × 5,302.72
4. Step 4: Simplify right side
   11,538.25x = 91,714,056.01
5. Step 5: Solve for x
   x = 91,714,056.01/11,538.25
6. Step 6: Final answer
   x = 7,948.70