Finding the Fourth Proportional to 9,938.64, 13,715.46 and 5,462.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,938.64 : 13,715.46 = 5,462.82 : x
2. Step 2: Convert to fraction form
   9,938.64/13,715.46 = 5,462.82/x
3. Step 3: Cross multiply
   9,938.64x = 13,715.46 × 5,462.82
4. Step 4: Simplify right side
   9,938.64x = 74,925,089.20
5. Step 5: Solve for x
   x = 74,925,089.20/9,938.64
6. Step 6: Final answer
   x = 7,538.77