Finding the Fourth Proportional to 10,271.64, 14,174.84 and 5,555.91

Step by Step Solution

1. Step 1: Write the proportion equation
   10,271.64 : 14,174.84 = 5,555.91 : x
2. Step 2: Convert to fraction form
   10,271.64/14,174.84 = 5,555.91/x
3. Step 3: Cross multiply
   10,271.64x = 14,174.84 × 5,555.91
4. Step 4: Simplify right side
   10,271.64x = 78,754,107.52
5. Step 5: Solve for x
   x = 78,754,107.52/10,271.64
6. Step 6: Final answer
   x = 7,667.14