Finding the Fourth Proportional to 10,113.63, 13,956.33 and 5,637.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,113.63 : 13,956.33 = 5,637.80 : x
2. Step 2: Convert to fraction form
   10,113.63/13,956.33 = 5,637.80/x
3. Step 3: Cross multiply
   10,113.63x = 13,956.33 × 5,637.80
4. Step 4: Simplify right side
   10,113.63x = 78,683,053.31
5. Step 5: Solve for x
   x = 78,683,053.31/10,113.63
6. Step 6: Final answer
   x = 7,779.91