Finding the Fourth Proportional to 10,596.02, 14,622.55 and 5,880.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,596.02 : 14,622.55 = 5,880.30 : x
2. Step 2: Convert to fraction form
   10,596.02/14,622.55 = 5,880.30/x
3. Step 3: Cross multiply
   10,596.02x = 14,622.55 × 5,880.30
4. Step 4: Simplify right side
   10,596.02x = 85,985,051.15
5. Step 5: Solve for x
   x = 85,985,051.15/10,596.02
6. Step 6: Final answer
   x = 8,114.84