Finding the Fourth Proportional to 10,054.84, 13,875.58 and 5,578.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,054.84 : 13,875.58 = 5,578.60 : x
2. Step 2: Convert to fraction form
   10,054.84/13,875.58 = 5,578.60/x
3. Step 3: Cross multiply
   10,054.84x = 13,875.58 × 5,578.60
4. Step 4: Simplify right side
   10,054.84x = 77,406,310.59
5. Step 5: Solve for x
   x = 77,406,310.59/10,054.84
6. Step 6: Final answer
   x = 7,698.41