Finding the Fourth Proportional to 10,085.31, 13,916.84 and 5,892.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,085.31 : 13,916.84 = 5,892.75 : x
2. Step 2: Convert to fraction form
   10,085.31/13,916.84 = 5,892.75/x
3. Step 3: Cross multiply
   10,085.31x = 13,916.84 × 5,892.75
4. Step 4: Simplify right side
   10,085.31x = 82,008,429.45
5. Step 5: Solve for x
   x = 82,008,429.45/10,085.31
6. Step 6: Final answer
   x = 8,131.47