Finding the Fourth Proportional to 10,084.91, 13,915.40 and 5,835.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,084.91 : 13,915.40 = 5,835.24 : x
2. Step 2: Convert to fraction form
   10,084.91/13,915.40 = 5,835.24/x
3. Step 3: Cross multiply
   10,084.91x = 13,915.40 × 5,835.24
4. Step 4: Simplify right side
   10,084.91x = 81,199,669.52
5. Step 5: Solve for x
   x = 81,199,669.52/10,084.91
6. Step 6: Final answer
   x = 8,051.60