Finding the Fourth Proportional to 10,068.50, 13,894.77 and 5,652.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,068.50 : 13,894.77 = 5,652.50 : x
2. Step 2: Convert to fraction form
   10,068.50/13,894.77 = 5,652.50/x
3. Step 3: Cross multiply
   10,068.50x = 13,894.77 × 5,652.50
4. Step 4: Simplify right side
   10,068.50x = 78,540,187.43
5. Step 5: Solve for x
   x = 78,540,187.43/10,068.50
6. Step 6: Final answer
   x = 7,800.58