Finding the Fourth Proportional to 10,506.04, 14,498.14 and 5,726.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,506.04 : 14,498.14 = 5,726.02 : x
2. Step 2: Convert to fraction form
   10,506.04/14,498.14 = 5,726.02/x
3. Step 3: Cross multiply
   10,506.04x = 14,498.14 × 5,726.02
4. Step 4: Simplify right side
   10,506.04x = 83,016,677.93
5. Step 5: Solve for x
   x = 83,016,677.93/10,506.04
6. Step 6: Final answer
   x = 7,901.81