Finding the Fourth Proportional to 13,994.17, 19,311.87 and 7,706.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,994.17 : 19,311.87 = 7,706.50 : x
2. Step 2: Convert to fraction form
   13,994.17/19,311.87 = 7,706.50/x
3. Step 3: Cross multiply
   13,994.17x = 19,311.87 × 7,706.50
4. Step 4: Simplify right side
   13,994.17x = 148,826,926.16
5. Step 5: Solve for x
   x = 148,826,926.16/13,994.17
6. Step 6: Final answer
   x = 10,634.92