Finding the Fourth Proportional to 9,801.75, 13,526.42 and 5,385.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,801.75 : 13,526.42 = 5,385.75 : x
2. Step 2: Convert to fraction form
   9,801.75/13,526.42 = 5,385.75/x
3. Step 3: Cross multiply
   9,801.75x = 13,526.42 × 5,385.75
4. Step 4: Simplify right side
   9,801.75x = 72,849,916.52
5. Step 5: Solve for x
   x = 72,849,916.52/9,801.75
6. Step 6: Final answer
   x = 7,432.34