Finding the Fourth Proportional to 10,233.64, 14,123.62 and 5,758.12

Step by Step Solution

1. Step 1: Write the proportion equation
   10,233.64 : 14,123.62 = 5,758.12 : x
2. Step 2: Convert to fraction form
   10,233.64/14,123.62 = 5,758.12/x
3. Step 3: Cross multiply
   10,233.64x = 14,123.62 × 5,758.12
4. Step 4: Simplify right side
   10,233.64x = 81,325,498.79
5. Step 5: Solve for x
   x = 81,325,498.79/10,233.64
6. Step 6: Final answer
   x = 7,946.88