Finding the Fourth Proportional to 10,538.17, 14,542.72 and 5,758.21

Step by Step Solution

1. Step 1: Write the proportion equation
   10,538.17 : 14,542.72 = 5,758.21 : x
2. Step 2: Convert to fraction form
   10,538.17/14,542.72 = 5,758.21/x
3. Step 3: Cross multiply
   10,538.17x = 14,542.72 × 5,758.21
4. Step 4: Simplify right side
   10,538.17x = 83,739,963.02
5. Step 5: Solve for x
   x = 83,739,963.02/10,538.17
6. Step 6: Final answer
   x = 7,946.35