Finding the Fourth Proportional to 10,106.22, 13,946.60 and 5,858.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,106.22 : 13,946.60 = 5,858.10 : x
2. Step 2: Convert to fraction form
   10,106.22/13,946.60 = 5,858.10/x
3. Step 3: Cross multiply
   10,106.22x = 13,946.60 × 5,858.10
4. Step 4: Simplify right side
   10,106.22x = 81,700,548.17
5. Step 5: Solve for x
   x = 81,700,548.17/10,106.22
6. Step 6: Final answer
   x = 8,084.18