Finding the Fourth Proportional to 10,346.02, 14,277.56 and 5,630.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,346.02 : 14,277.56 = 5,630.34 : x
2. Step 2: Convert to fraction form
   10,346.02/14,277.56 = 5,630.34/x
3. Step 3: Cross multiply
   10,346.02x = 14,277.56 × 5,630.34
4. Step 4: Simplify right side
   10,346.02x = 80,387,517.17
5. Step 5: Solve for x
   x = 80,387,517.17/10,346.02
6. Step 6: Final answer
   x = 7,769.90