Finding the Fourth Proportional to 10,667.61, 14,728.57 and 6,899.90

Step by Step Solution

1. Step 1: Write the proportion equation
   10,667.61 : 14,728.57 = 6,899.90 : x
2. Step 2: Convert to fraction form
   10,667.61/14,728.57 = 6,899.90/x
3. Step 3: Cross multiply
   10,667.61x = 14,728.57 × 6,899.90
4. Step 4: Simplify right side
   10,667.61x = 101,625,569.25
5. Step 5: Solve for x
   x = 101,625,569.25/10,667.61
6. Step 6: Final answer
   x = 9,526.55