Finding the Fourth Proportional to 10,106.46, 13,946.93 and 5,858.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,106.46 : 13,946.93 = 5,858.34 : x
2. Step 2: Convert to fraction form
   10,106.46/13,946.93 = 5,858.34/x
3. Step 3: Cross multiply
   10,106.46x = 13,946.93 × 5,858.34
4. Step 4: Simplify right side
   10,106.46x = 81,705,828.60
5. Step 5: Solve for x
   x = 81,705,828.60/10,106.46
6. Step 6: Final answer
   x = 8,084.52