Finding the Fourth Proportional to 10,607.94, 14,638.57 and 5,892.53

Step by Step Solution

1. Step 1: Write the proportion equation
   10,607.94 : 14,638.57 = 5,892.53 : x
2. Step 2: Convert to fraction form
   10,607.94/14,638.57 = 5,892.53/x
3. Step 3: Cross multiply
   10,607.94x = 14,638.57 × 5,892.53
4. Step 4: Simplify right side
   10,607.94x = 86,258,124.96
5. Step 5: Solve for x
   x = 86,258,124.96/10,607.94
6. Step 6: Final answer
   x = 8,131.47