Finding the Fourth Proportional to 10,084.19, 13,915.88 and 5,607.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,084.19 : 13,915.88 = 5,607.86 : x
2. Step 2: Convert to fraction form
   10,084.19/13,915.88 = 5,607.86/x
3. Step 3: Cross multiply
   10,084.19x = 13,915.88 × 5,607.86
4. Step 4: Simplify right side
   10,084.19x = 78,038,209.20
5. Step 5: Solve for x
   x = 78,038,209.20/10,084.19
6. Step 6: Final answer
   x = 7,738.67