Finding the Fourth Proportional to 10,083.64, 13,914.63 and 5,607.12

Step by Step Solution

1. Step 1: Write the proportion equation
   10,083.64 : 13,914.63 = 5,607.12 : x
2. Step 2: Convert to fraction form
   10,083.64/13,914.63 = 5,607.12/x
3. Step 3: Cross multiply
   10,083.64x = 13,914.63 × 5,607.12
4. Step 4: Simplify right side
   10,083.64x = 78,021,000.17
5. Step 5: Solve for x
   x = 78,021,000.17/10,083.64
6. Step 6: Final answer
   x = 7,737.38