Finding the Fourth Proportional to 10,085.34, 13,915.72 and 5,892.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,085.34 : 13,915.72 = 5,892.78 : x
2. Step 2: Convert to fraction form
   10,085.34/13,915.72 = 5,892.78/x
3. Step 3: Cross multiply
   10,085.34x = 13,915.72 × 5,892.78
4. Step 4: Simplify right side
   10,085.34x = 82,002,276.50
5. Step 5: Solve for x
   x = 82,002,276.50/10,085.34
6. Step 6: Final answer
   x = 8,130.84