Finding the Fourth Proportional to 10,054.14, 13,875.57 and 5,579.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,054.14 : 13,875.57 = 5,579.34 : x
2. Step 2: Convert to fraction form
   10,054.14/13,875.57 = 5,579.34/x
3. Step 3: Cross multiply
   10,054.14x = 13,875.57 × 5,579.34
4. Step 4: Simplify right side
   10,054.14x = 77,416,522.72
5. Step 5: Solve for x
   x = 77,416,522.72/10,054.14
6. Step 6: Final answer
   x = 7,699.96