Finding the Fourth Proportional to 10,970.34, 16,457.61 and 5,707.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,970.34 : 16,457.61 = 5,707.86 : x
2. Step 2: Convert to fraction form
   10,970.34/16,457.61 = 5,707.86/x
3. Step 3: Cross multiply
   10,970.34x = 16,457.61 × 5,707.86
4. Step 4: Simplify right side
   10,970.34x = 93,937,733.81
5. Step 5: Solve for x
   x = 93,937,733.81/10,970.34
6. Step 6: Final answer
   x = 8,562.88