Finding the Fourth Proportional to 10,346.08, 14,277.40 and 5,746.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,346.08 : 14,277.40 = 5,746.69 : x
2. Step 2: Convert to fraction form
   10,346.08/14,277.40 = 5,746.69/x
3. Step 3: Cross multiply
   10,346.08x = 14,277.40 × 5,746.69
4. Step 4: Simplify right side
   10,346.08x = 82,047,763.07
5. Step 5: Solve for x
   x = 82,047,763.07/10,346.08
6. Step 6: Final answer
   x = 7,930.33