Finding the Fourth Proportional to 10,174.17, 14,038.72 and 5,698.11

Step by Step Solution

1. Step 1: Write the proportion equation
   10,174.17 : 14,038.72 = 5,698.11 : x
2. Step 2: Convert to fraction form
   10,174.17/14,038.72 = 5,698.11/x
3. Step 3: Cross multiply
   10,174.17x = 14,038.72 × 5,698.11
4. Step 4: Simplify right side
   10,174.17x = 79,994,156.57
5. Step 5: Solve for x
   x = 79,994,156.57/10,174.17
6. Step 6: Final answer
   x = 7,862.47