Finding the Fourth Proportional to 9,510.42, 14,258.34 and 5,814.39

Step by Step Solution

1. Step 1: Write the proportion equation
   9,510.42 : 14,258.34 = 5,814.39 : x
2. Step 2: Convert to fraction form
   9,510.42/14,258.34 = 5,814.39/x
3. Step 3: Cross multiply
   9,510.42x = 14,258.34 × 5,814.39
4. Step 4: Simplify right side
   9,510.42x = 82,903,549.51
5. Step 5: Solve for x
   x = 82,903,549.51/9,510.42
6. Step 6: Final answer
   x = 8,717.13