Finding the Fourth Proportional to 9,741.68, 13,442.53 and 5,762.02

Step by Step Solution

1. Step 1: Write the proportion equation
   9,741.68 : 13,442.53 = 5,762.02 : x
2. Step 2: Convert to fraction form
   9,741.68/13,442.53 = 5,762.02/x
3. Step 3: Cross multiply
   9,741.68x = 13,442.53 × 5,762.02
4. Step 4: Simplify right side
   9,741.68x = 77,456,126.71
5. Step 5: Solve for x
   x = 77,456,126.71/9,741.68
6. Step 6: Final answer
   x = 7,951.00