Finding the Fourth Proportional to 7,758.29, 10,706.35 and 4,221.42

Step by Step Solution

1. Step 1: Write the proportion equation
   7,758.29 : 10,706.35 = 4,221.42 : x
2. Step 2: Convert to fraction form
   7,758.29/10,706.35 = 4,221.42/x
3. Step 3: Cross multiply
   7,758.29x = 10,706.35 × 4,221.42
4. Step 4: Simplify right side
   7,758.29x = 45,196,000.02
5. Step 5: Solve for x
   x = 45,196,000.02/7,758.29
6. Step 6: Final answer
   x = 5,825.51