Finding the Fourth Proportional to 10,634.46, 14,667.93 and 7,802.70

Step by Step Solution

1. Step 1: Write the proportion equation
   10,634.46 : 14,667.93 = 7,802.70 : x
2. Step 2: Convert to fraction form
   10,634.46/14,667.93 = 7,802.70/x
3. Step 3: Cross multiply
   10,634.46x = 14,667.93 × 7,802.70
4. Step 4: Simplify right side
   10,634.46x = 114,449,457.41
5. Step 5: Solve for x
   x = 114,449,457.41/10,634.46
6. Step 6: Final answer
   x = 10,762.13