Finding the Fourth Proportional to 7,850.50, 10,826.25 and 5,156.98

Step by Step Solution

1. Step 1: Write the proportion equation
   7,850.50 : 10,826.25 = 5,156.98 : x
2. Step 2: Convert to fraction form
   7,850.50/10,826.25 = 5,156.98/x
3. Step 3: Cross multiply
   7,850.50x = 10,826.25 × 5,156.98
4. Step 4: Simplify right side
   7,850.50x = 55,830,754.73
5. Step 5: Solve for x
   x = 55,830,754.73/7,850.50
6. Step 6: Final answer
   x = 7,111.75