Finding the Fourth Proportional to 10,055.34, 13,875.71 and 5,578.94

Step by Step Solution

1. Step 1: Write the proportion equation
   10,055.34 : 13,875.71 = 5,578.94 : x
2. Step 2: Convert to fraction form
   10,055.34/13,875.71 = 5,578.94/x
3. Step 3: Cross multiply
   10,055.34x = 13,875.71 × 5,578.94
4. Step 4: Simplify right side
   10,055.34x = 77,411,760.34
5. Step 5: Solve for x
   x = 77,411,760.34/10,055.34
6. Step 6: Final answer
   x = 7,698.57