Finding the Fourth Proportional to 7,788.16, 10,802.72 and 7,507.96

Step by Step Solution

1. Step 1: Write the proportion equation
   7,788.16 : 10,802.72 = 7,507.96 : x
2. Step 2: Convert to fraction form
   7,788.16/10,802.72 = 7,507.96/x
3. Step 3: Cross multiply
   7,788.16x = 10,802.72 × 7,507.96
4. Step 4: Simplify right side
   7,788.16x = 81,106,389.65
5. Step 5: Solve for x
   x = 81,106,389.65/7,788.16
6. Step 6: Final answer
   x = 10,414.06