Finding the Fourth Proportional to 10,542.10, 14,548.80 and 7,002.94

Step by Step Solution

1. Step 1: Write the proportion equation
   10,542.10 : 14,548.80 = 7,002.94 : x
2. Step 2: Convert to fraction form
   10,542.10/14,548.80 = 7,002.94/x
3. Step 3: Cross multiply
   10,542.10x = 14,548.80 × 7,002.94
4. Step 4: Simplify right side
   10,542.10x = 101,884,373.47
5. Step 5: Solve for x
   x = 101,884,373.47/10,542.10
6. Step 6: Final answer
   x = 9,664.52