Finding the Fourth Proportional to 10,109.32, 13,948.50 and 5,916.04

Step by Step Solution

1. Step 1: Write the proportion equation
   10,109.32 : 13,948.50 = 5,916.04 : x
2. Step 2: Convert to fraction form
   10,109.32/13,948.50 = 5,916.04/x
3. Step 3: Cross multiply
   10,109.32x = 13,948.50 × 5,916.04
4. Step 4: Simplify right side
   10,109.32x = 82,519,883.94
5. Step 5: Solve for x
   x = 82,519,883.94/10,109.32
6. Step 6: Final answer
   x = 8,162.75