Finding the Fourth Proportional to 10,084.35, 13,916.16 and 5,607.93

Step by Step Solution

1. Step 1: Write the proportion equation
   10,084.35 : 13,916.16 = 5,607.93 : x
2. Step 2: Convert to fraction form
   10,084.35/13,916.16 = 5,607.93/x
3. Step 3: Cross multiply
   10,084.35x = 13,916.16 × 5,607.93
4. Step 4: Simplify right side
   10,084.35x = 78,040,851.15
5. Step 5: Solve for x
   x = 78,040,851.15/10,084.35
6. Step 6: Final answer
   x = 7,738.81