Finding the Fourth Proportional to 9,142.30, 12,607.54 and 7,726.02

Step by Step Solution

1. Step 1: Write the proportion equation
   9,142.30 : 12,607.54 = 7,726.02 : x
2. Step 2: Convert to fraction form
   9,142.30/12,607.54 = 7,726.02/x
3. Step 3: Cross multiply
   9,142.30x = 12,607.54 × 7,726.02
4. Step 4: Simplify right side
   9,142.30x = 97,406,106.19
5. Step 5: Solve for x
   x = 97,406,106.19/9,142.30
6. Step 6: Final answer
   x = 10,654.44