Finding the Fourth Proportional to 10,264, 14,164.32 and 5,848

Step by Step Solution

1. Step 1: Write the proportion equation
   10,264 : 14,164.32 = 5,848 : x
2. Step 2: Convert to fraction form
   10,264/14,164.32 = 5,848/x
3. Step 3: Cross multiply
   10,264x = 14,164.32 × 5,848
4. Step 4: Simplify right side
   10,264x = 82,832,943.36
5. Step 5: Solve for x
   x = 82,832,943.36/10,264
6. Step 6: Final answer
   x = 8,070.24