Finding the Fourth Proportional to 10,234.77, 14,122.98 and 5,758.43

Step by Step Solution

1. Step 1: Write the proportion equation
   10,234.77 : 14,122.98 = 5,758.43 : x
2. Step 2: Convert to fraction form
   10,234.77/14,122.98 = 5,758.43/x
3. Step 3: Cross multiply
   10,234.77x = 14,122.98 × 5,758.43
4. Step 4: Simplify right side
   10,234.77x = 81,326,191.72
5. Step 5: Solve for x
   x = 81,326,191.72/10,234.77
6. Step 6: Final answer
   x = 7,946.07