Finding the Fourth Proportional to 10,106.71, 13,947.29 and 5,858.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,106.71 : 13,947.29 = 5,858.60 : x
2. Step 2: Convert to fraction form
   10,106.71/13,947.29 = 5,858.60/x
3. Step 3: Cross multiply
   10,106.71x = 13,947.29 × 5,858.60
4. Step 4: Simplify right side
   10,106.71x = 81,711,593.19
5. Step 5: Solve for x
   x = 81,711,593.19/10,106.71
6. Step 6: Final answer
   x = 8,084.89