Finding the Fourth Proportional to 10,510.56, 15,773.92 and 7,848.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,510.56 : 15,773.92 = 7,848.80 : x
2. Step 2: Convert to fraction form
   10,510.56/15,773.92 = 7,848.80/x
3. Step 3: Cross multiply
   10,510.56x = 15,773.92 × 7,848.80
4. Step 4: Simplify right side
   10,510.56x = 123,806,343.30
5. Step 5: Solve for x
   x = 123,806,343.30/10,510.56
6. Step 6: Final answer
   x = 11,779.23