Finding the Fourth Proportional to 7,874.56, 10,848 and 5,386.24

Step by Step Solution

1. Step 1: Write the proportion equation
   7,874.56 : 10,848 = 5,386.24 : x
2. Step 2: Convert to fraction form
   7,874.56/10,848 = 5,386.24/x
3. Step 3: Cross multiply
   7,874.56x = 10,848 × 5,386.24
4. Step 4: Simplify right side
   7,874.56x = 58,429,931.52
5. Step 5: Solve for x
   x = 58,429,931.52/7,874.56
6. Step 6: Final answer
   x = 7,420.09