Finding the Fourth Proportional to 10,618.58, 14,653.74 and 5,838.77

Step by Step Solution

1. Step 1: Write the proportion equation
   10,618.58 : 14,653.74 = 5,838.77 : x
2. Step 2: Convert to fraction form
   10,618.58/14,653.74 = 5,838.77/x
3. Step 3: Cross multiply
   10,618.58x = 14,653.74 × 5,838.77
4. Step 4: Simplify right side
   10,618.58x = 85,559,817.50
5. Step 5: Solve for x
   x = 85,559,817.50/10,618.58
6. Step 6: Final answer
   x = 8,057.56