Finding the Fourth Proportional to 10,510.02, 14,504.87 and 7,852.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,510.02 : 14,504.87 = 7,852.82 : x
2. Step 2: Convert to fraction form
   10,510.02/14,504.87 = 7,852.82/x
3. Step 3: Cross multiply
   10,510.02x = 14,504.87 × 7,852.82
4. Step 4: Simplify right side
   10,510.02x = 113,904,080.34
5. Step 5: Solve for x
   x = 113,904,080.34/10,510.02
6. Step 6: Final answer
   x = 10,837.67