Finding the Fourth Proportional to 9,897.84, 13,659.18 and 5,422.02

Step by Step Solution

1. Step 1: Write the proportion equation
   9,897.84 : 13,659.18 = 5,422.02 : x
2. Step 2: Convert to fraction form
   9,897.84/13,659.18 = 5,422.02/x
3. Step 3: Cross multiply
   9,897.84x = 13,659.18 × 5,422.02
4. Step 4: Simplify right side
   9,897.84x = 74,060,275.59
5. Step 5: Solve for x
   x = 74,060,275.59/9,897.84
6. Step 6: Final answer
   x = 7,482.47