Finding the Fourth Proportional to 10,491.32, 14,478.12 and 5,775.74

Step by Step Solution

1. Step 1: Write the proportion equation
   10,491.32 : 14,478.12 = 5,775.74 : x
2. Step 2: Convert to fraction form
   10,491.32/14,478.12 = 5,775.74/x
3. Step 3: Cross multiply
   10,491.32x = 14,478.12 × 5,775.74
4. Step 4: Simplify right side
   10,491.32x = 83,621,856.81
5. Step 5: Solve for x
   x = 83,621,856.81/10,491.32
6. Step 6: Final answer
   x = 7,970.58