Finding the Fourth Proportional to 10,056.71, 13,884.37 and 7,814.35

Step by Step Solution

1. Step 1: Write the proportion equation
   10,056.71 : 13,884.37 = 7,814.35 : x
2. Step 2: Convert to fraction form
   10,056.71/13,884.37 = 7,814.35/x
3. Step 3: Cross multiply
   10,056.71x = 13,884.37 × 7,814.35
4. Step 4: Simplify right side
   10,056.71x = 108,497,326.71
5. Step 5: Solve for x
   x = 108,497,326.71/10,056.71
6. Step 6: Final answer
   x = 10,788.55