Finding the Fourth Proportional to 10,054.89, 13,875.83 and 5,578.93

Step by Step Solution

1. Step 1: Write the proportion equation
   10,054.89 : 13,875.83 = 5,578.93 : x
2. Step 2: Convert to fraction form
   10,054.89/13,875.83 = 5,578.93/x
3. Step 3: Cross multiply
   10,054.89x = 13,875.83 × 5,578.93
4. Step 4: Simplify right side
   10,054.89x = 77,412,256.37
5. Step 5: Solve for x
   x = 77,412,256.37/10,054.89
6. Step 6: Final answer
   x = 7,698.97