Finding the Fourth Proportional to 9,726.30, 13,420.01 and 5,748.02

Step by Step Solution

1. Step 1: Write the proportion equation
   9,726.30 : 13,420.01 = 5,748.02 : x
2. Step 2: Convert to fraction form
   9,726.30/13,420.01 = 5,748.02/x
3. Step 3: Cross multiply
   9,726.30x = 13,420.01 × 5,748.02
4. Step 4: Simplify right side
   9,726.30x = 77,138,390.04
5. Step 5: Solve for x
   x = 77,138,390.04/9,726.30
6. Step 6: Final answer
   x = 7,930.91