Finding the Fourth Proportional to 10,114.14, 13,957.30 and 5,637.62

Step by Step Solution

1. Step 1: Write the proportion equation
   10,114.14 : 13,957.30 = 5,637.62 : x
2. Step 2: Convert to fraction form
   10,114.14/13,957.30 = 5,637.62/x
3. Step 3: Cross multiply
   10,114.14x = 13,957.30 × 5,637.62
4. Step 4: Simplify right side
   10,114.14x = 78,685,967.72
5. Step 5: Solve for x
   x = 78,685,967.72/10,114.14
6. Step 6: Final answer
   x = 7,779.80