Finding the Fourth Proportional to 7,689.89, 10,612.55 and 5,798.14

Step by Step Solution

1. Step 1: Write the proportion equation
   7,689.89 : 10,612.55 = 5,798.14 : x
2. Step 2: Convert to fraction form
   7,689.89/10,612.55 = 5,798.14/x
3. Step 3: Cross multiply
   7,689.89x = 10,612.55 × 5,798.14
4. Step 4: Simplify right side
   7,689.89x = 61,533,038.62
5. Step 5: Solve for x
   x = 61,533,038.62/7,689.89
6. Step 6: Final answer
   x = 8,001.81