Finding the Fourth Proportional to 13,077.10, 19,623.72 and 5,178.28

Step by Step Solution

1. Step 1: Write the proportion equation
   13,077.10 : 19,623.72 = 5,178.28 : x
2. Step 2: Convert to fraction form
   13,077.10/19,623.72 = 5,178.28/x
3. Step 3: Cross multiply
   13,077.10x = 19,623.72 × 5,178.28
4. Step 4: Simplify right side
   13,077.10x = 101,617,094.83
5. Step 5: Solve for x
   x = 101,617,094.83/13,077.10
6. Step 6: Final answer
   x = 7,770.62