Finding the Fourth Proportional to 9,734.58, 13,428.90 and 5,753.76

Step by Step Solution

1. Step 1: Write the proportion equation
   9,734.58 : 13,428.90 = 5,753.76 : x
2. Step 2: Convert to fraction form
   9,734.58/13,428.90 = 5,753.76/x
3. Step 3: Cross multiply
   9,734.58x = 13,428.90 × 5,753.76
4. Step 4: Simplify right side
   9,734.58x = 77,266,667.66
5. Step 5: Solve for x
   x = 77,266,667.66/9,734.58
6. Step 6: Final answer
   x = 7,937.34