Finding the Fourth Proportional to 10,113.58, 13,956.24 and 5,637.70

Step by Step Solution

1. Step 1: Write the proportion equation
   10,113.58 : 13,956.24 = 5,637.70 : x
2. Step 2: Convert to fraction form
   10,113.58/13,956.24 = 5,637.70/x
3. Step 3: Cross multiply
   10,113.58x = 13,956.24 × 5,637.70
4. Step 4: Simplify right side
   10,113.58x = 78,681,094.25
5. Step 5: Solve for x
   x = 78,681,094.25/10,113.58
6. Step 6: Final answer
   x = 7,779.75