Finding the Fourth Proportional to 9,926.53, 13,699.83 and 5,734.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,926.53 : 13,699.83 = 5,734.78 : x
2. Step 2: Convert to fraction form
   9,926.53/13,699.83 = 5,734.78/x
3. Step 3: Cross multiply
   9,926.53x = 13,699.83 × 5,734.78
4. Step 4: Simplify right side
   9,926.53x = 78,565,511.09
5. Step 5: Solve for x
   x = 78,565,511.09/9,926.53
6. Step 6: Final answer
   x = 7,914.70